Completely splittable representations of symmetric groups and affine Hecke algebras

被引：13

作者：

Ruff, Oliver ^{[1
]}

机构：

[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

JOURNAL OF ALGEBRA | 2006年 / 305卷 / 02期

关键词：

symmetric group; affine Hecke algebra; completely splittable; calibrated;

D O I：

10.1016/j.jalgebra.2006.05.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the class of completely splittable representations of the symmetric group and its associated degenerate affine Hecke algebra in positive characteristic, using techniques developed by Okounkov and Vershik for the symmetric group over the complex numbers. The representations are classified and constructed, and we provide a character formula in the symmetric group case. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1197 / 1211

页数：15

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