Cluster algebras I: Foundations

Fomin, Sergey; Zelevinsky, Andrei

doi:10.1090/S0894-0347-01-00385-X

Cluster algebras I: Foundations
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by Sergey Fomin and Andrei Zelevinsky

J. Amer. Math. Soc. 15 (2002), 497-529

DOI: https://doi.org/10.1090/S0894-0347-01-00385-X

Published electronically: December 28, 2001

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Abstract:

In an attempt to create an algebraic framework for dual canonical bases and total positivity in semisimple groups, we initiate the study of a new class of commutative algebras.

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