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Open AccessMathematics

Cluster algebras I: Foundations

S. Fomin, A. Zelevinsky

2001.4.13JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

DOI: 10.1090/s0894-0347-01-00385-x

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.

Citation format

FOMIN, S.; ZELEVINSKY, A. Cluster algebras i: Foundations [preprint]. arXiv, 2001. arXiv:math/0104151.