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Cluster algebras I: Foundations

Author(s): Sergey Fomin , Andrei Zelevinsky

Publication date (Electronic): December 28 2001

Journal: Journal of the American Mathematical Society

Publisher: American Mathematical Society (AMS)

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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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Parametrizations of Canonical Bases and Totally Positive Matrices

Arkady Berenstein, Sergey Fomin, Andrei Zelevinsky (1996)

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Author and article information

Journal

Title: Journal of the American Mathematical Society

Abbreviated Title: J. Amer. Math. Soc.

Publisher: American Mathematical Society (AMS)

ISSN (Print): 0894-0347

ISSN (Electronic): 1088-6834

Publication date Created: April 2002

Publication date (Electronic): December 28 2001

Volume: 15

Issue: 2

Pages: 497-529

Article

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

SO-VID: 6aca4248-f45d-4062-8ea1-290b3b21d844

Copyright © © 2001

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