http://demonstrations.wolfram.com/ClusterAlgebras
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Cluster algebras are certain commutative rings introduced by Fomin and Zelevinsky. Their generators (called cluster variables) and algebraic relations are defined through an iterative process known as "seed mutations." The latter are defined in terms of...
Contributed by: Bernhard Keller, Christian Korff, and Lauren Williams (URF de Mathematiques, Paris 7; School of Mathematics and Statistics, University of Glasgow; and Department of Mathematics, UC Berkeley)
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