Canonical bases and affine Hecke algebras of type B

被引：19
|
作者：
Varagnolo, M. [2 ]
Vasserot, E. [1 ]
机构：
[1] Univ Paris 07, Dept Math, F-75013 Paris, France
[2] Univ Cergy Pontoise, CNRS, UMR 8088, F-95000 Cergy Pontoise, France
来源：
INVENTIONES MATHEMATICAE | 2011年 / 185卷 / 03期
关键词：
Canonical Basis; Dimension Vector; Simple Object; Equivariant Cohomology; Grothendieck Group;
D O I：
10.1007/s00222-011-0314-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a series of conjectures of Enomoto and Kashiwara on canonical bases and branching rules of affine Hecke algebras of type B. The main ingredient of the proof is a new graded Ext-algebra associated with quiver with involutions that we compute explicitly.
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页码：593 / 693
页数：101
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