Cluster Algebras and Grassmannians of Type G2

被引：1

作者：

Gautam, Sachin ^{[1
]}

机构：

[1] Northeastern Univ, Dept Math, Boston, MA 02115 USA

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2010年 / 13卷 / 03期

关键词：

Cluster algebras; Based affine space; Exceptional group; DOUBLE BRUHAT CELLS; TOTAL POSITIVITY;

D O I：

10.1007/s10468-008-9126-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a conjecture of Geiss, Leclerc and Schroer, producing cluster algebra structures on multi-homogeneous coordinate ring of partial flag varieties, for the case G(2). As a consequence we sharpen the known fact that coordinate ring of the double Bruhat cell G(e,w0) is an upper cluster algebra, by proving that it is a cluster algebra.

引用

页码：335 / 357

页数：23

共 8 条

[1] Cluster algebras III: Upper bounds and double Bruhat cells [J].