Dual canonical bases, quantum shuffles and q-characters

被引：71

作者：

Leclerc, B ^{[1
]}

机构：

[1] Univ Caen, Dept Math, F-14032 Caen, France

来源：

MATHEMATISCHE ZEITSCHRIFT | 2004年 / 246卷 / 04期

关键词：

D O I：

10.1007/s00209-003-0609-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Rosso and Green have shown how to embed the positive part U-q (n) of a quantum enveloping algebra U-q(g) in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis B* of U-q(n) under this embedding Phi. This is motivated by the fact that when g is of type A(r), the elements of Phi (B*) are q-analogues of irreducible characters of the affine Iwahori-Hecke algebras attached to the groups GL (m) over a p-adic field.

引用

页码：691 / 732

页数：42

共 43 条

[1]

[Anonymous], PROGR MATH

[2] On the decomposition numbers of the Hecke algebra of G(m,1,n) [J].