Quantum cluster algebras
量子代数
2007-05-23 v2 代数几何
表示论
摘要
Cluster algebras were introduced by S. Fomin and A. Zelevinsky in math.RT/0104151; their study continued in math.RA/0208229, math.RT/0305434. This is a family 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.
引用
@article{arxiv.math/0404446,
title = {Quantum cluster algebras},
author = {Arkady Berenstein and Andrei Zelevinsky},
journal= {arXiv preprint arXiv:math/0404446},
year = {2007}
}
备注
Minor corrections; final version, to appear in Advances in Mathematics; 41 pages