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Federico Ardila

Federico Ardila: Coxeter Groups

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LECTURE INDEX AT:
http://math.sfsu.edu/federico/teaching.html

A Spring 2008 course on Coxeter Groups at SFSU and Los Andes taught by Federico Ardila.

I have taught a total of 5 courses:
- Matroids (2007)
- Coxeter Groups (2008)
- Combinatorial Commutative Algebra (2009)
- Polytopes (2010)
- Hopf Algebras and Combinatorics (2012)
All videos are available on youtube.
(Channel: federicoelmatematico)

I was a bit hesitant to post all of this for anyone to see. Everyone makes mistakes when they teach, but not everyone immortalizes them on the internet. :) But I decided the lectures might be useful to people so i posted them anyway. If you have found them helpful, please let me know how you are using them. I welcome your comments and feedback; drop me an email to myfirstname at sfsu dot edu.

This work is part of the SFSU-Colombia Combinatorics Initiative, and is partially supported by the grants:
NSF Grant DMS-0801075
NSF CAREER Award DMS-0956178
of the US National Science Foundation.

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  1. Thumbnail 38:54
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    Lecture 1 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 341 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  2. Thumbnail 54:02
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    Lecture 2 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 153 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  3. Thumbnail 54:02
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    Lecture 3 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 89 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  4. Thumbnail 54:02
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    Lecture 4 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 59 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  5. Thumbnail 54:02
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    Lecture 5 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 55 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  6. Thumbnail 54:02
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    Lecture 6 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 716 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  7. Thumbnail 56:42
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    Lecture 7 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 34 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  8. Thumbnail 52:46
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    Lecture 8 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 21 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  9. Thumbnail 50:12
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    Lecture 9 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 20 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  10. Thumbnail 54:19
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    Lecture 10 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 30 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  11. Thumbnail 54:02
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    Lecture 11 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 12 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  12. Thumbnail 54:02
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    Lecture 12 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 13 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  13. Thumbnail 54:02
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    Lecture 13 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 18 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  14. Thumbnail 54:02
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    Lecture 14 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 21 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  15. Thumbnail 54:02
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    Lecture 15 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 14 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  16. Thumbnail 54:02
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    Lecture 16 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 16 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  17. Thumbnail 54:02
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    Lecture 17 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 18 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  18. Thumbnail 54:02
    18

    Lecture 18 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 13 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  19. Thumbnail 54:02
    19

    Lecture 19 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 35 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  20. Thumbnail 54:02
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    Lecture 20 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 16 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  21. Thumbnail 54:02
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    Lecture 21 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 9 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  22. Thumbnail 54:02
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    Lecture 22 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 17 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  23. Thumbnail 54:02
    23

    Lecture 23 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 11 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  24. Thumbnail 54:02
    24

    Lecture 24 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 10 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  25. Thumbnail 54:02
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    Lecture 25 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 10 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  26. Thumbnail 54:02
    26

    Lecture 26 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 7 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  27. Thumbnail 54:02
    27

    Lecture 27 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 9 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  28. Thumbnail 54:02
    28

    Lecture 28 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 7 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  29. Thumbnail 54:02
    29

    Lecture 29 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 4 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  30. Thumbnail 54:02
    30

    Lecture 30 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 7 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  31. Thumbnail 54:02
    31

    Lecture 31 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 4 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  32. Thumbnail 54:02
    32

    Lecture 32 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 5 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  33. Thumbnail 54:02
    33

    Lecture 33 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 5 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  34. Thumbnail 54:02
    34

    Lecture 34 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 8 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  35. Thumbnail 54:02
    35

    Lecture 35 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 8 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  36. Thumbnail 54:02
    36

    Lecture 36 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 5 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  37. Thumbnail 54:02
    37

    Lecture 37 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 8 views

    *** I'm so sorry, the camera froze today... The other videos work fine. ***

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  38. Thumbnail 54:02
    38

    Lecture 38 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 6 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  39. Thumbnail 54:02
    39

    Lecture 39 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 10 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  40. Thumbnail 54:02
    40

    Lecture 40 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 11 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  41. Thumbnail 54:02
    41

    Lecture 41 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 26 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  42. Thumbnail 54:02
    42

    Lecture 42 . Coxeter Groups (Federico Ardila)

    by Federico Ardila 32 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Coxeter/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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