Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9518061 | Advances in Mathematics | 2005 | 51 Pages |
Abstract
Cluster algebras form an axiomatically defined class of commutative rings designed to serve as an algebraic framework for the theory of total positivity and canonical bases in semisimple groups and their quantum analogs. In this paper we introduce and study quantum deformations of cluster algebras.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Arkady Berenstein, Andrei Zelevinsky,