CENTRALIZER ALGEBRAS AND DEGENERATE AFFINE HECKE ALGEBRAS

被引：1

作者：

Ellers, Harald ^{[1
]}

Murray, John ^{[2
]}

机构：

[1] Allegheny Coll, Dept Math, Meadville, PA 16335 USA

[2] Natl Univ Ireland, Dept Math & Stat, Maynooth, Kildare, Ireland

来源：

COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 03期

关键词：

Abacus; Block; Centralizer algebra; Degenerate affine Hecke algebra; Symmetric group; Primary; 20C30; Secondary; 20C05; BRANCHING-RULES; SYMMETRIC GROUP; REPRESENTATIONS;

D O I：

10.1080/00927872.2012.731622

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (F, R, k) be a p-modular system, and let RSn denote the centralizer of the symmetric group S in the group algebra RSn, where = n. We show that the decomposition map of RS S n can be determined from that of the degenerate affine Hecke algebra R n-of rank n -. We use this to determine the blocks of RS S n for = n -2 n -3. For each p-core, there is an n0 such that if n > n0 and En is a block idempotent of RSn with core, then EnEn- is zero or a block idempotent of RS Sn, for each block idempotent En- of RSn-.

引用

页码：1074 / 1094

页数：21

共 22 条

[1]

Alperin J., 1987, ARC C REPR FIN GROUP, V1, P369

[2] On the center of a Hecke algebra [J].