Cluster algebras of finite type via coxeter elements and principal minors

Shih-Wei Yang, Andrei Zelevinsky

研究成果: Article

34 引文 (Scopus)

摘要

We give a uniform geometric realization for the cluster algebra of an arbitrary finite type with principal coefficients at an arbitrary acyclic seed. This algebra is realized as the coordinate ring of a certain reduced double Bruhat cell in the simply connected semisimple algebraic group of the same Cartan-Killing type. In this realization, the cluster variables appear as certain (generalized) principal minors.

原文English
頁(從 - 到)855-895
頁數41
期刊Transformation Groups
13
發行號3-4
DOIs
出版狀態Published - 2008 十二月 1

指紋

Cluster Algebra
Finite Type
Minor
Semisimple Groups
Arbitrary
Algebraic Groups
Ring
Algebra
Cell
Coefficient

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology

引用此文

Yang, Shih-Wei ; Zelevinsky, Andrei. / Cluster algebras of finite type via coxeter elements and principal minors. 於: Transformation Groups. 2008 ; 卷 13, 編號 3-4. 頁 855-895.
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Cluster algebras of finite type via coxeter elements and principal minors. / Yang, Shih-Wei; Zelevinsky, Andrei.

於: Transformation Groups, 卷 13, 編號 3-4, 01.12.2008, p. 855-895.

研究成果: Article

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