Non-integral representation theory of even multiplicity finite W-algebras

被引：2

作者：

Brown, Jonathan ^{[1
]}

Goodwin, Simon M. ^{[2
]}

机构：

[1] Gonzaga Univ, Dept Math, Spokane, WA 99258 USA

[2] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

来源：

JOURNAL OF ALGEBRA | 2013年 / 380卷

基金：

英国工程与自然科学研究理事会;

关键词：

Finite W-algebras; Representation theory; Algebraic Lie theory; ORBITAL INTEGRALS; PRIMITIVE-IDEALS;

D O I：

10.1016/j.jalgebra.2013.01.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We complete the classification of the finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent elements in classical Lie algebras. This extends earlier work in Brown and Goodwin (2013) [BG1], where this classification is determined for such representations of integral central character. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：30 / 45

页数：16

共 13 条

[1] PRIMITIVE-IDEALS AND ORBITAL INTEGRALS IN COMPLEX CLASSICAL-GROUPS [J].