A generalized Harish-Chandra isomorphism

被引：16

作者：

Khoroshkin, Sergey ^{[1
,2
]}

Nazarov, Maxim ^{[3
]}

Vinberg, Ernest ^{[4
]}

机构：

[1] Inst Theoret & Expt Phys, Moscow 117259, Russia

[2] Higher Sch Econ, Dept Math, Moscow 117312, Russia

[3] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

[4] Moscow MV Lomonosov State Univ, Dept Math, Moscow 119992, Russia

来源：

ADVANCES IN MATHEMATICS | 2011年 / 226卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Chevalley theorem; Harish-Chandra isomorphism; Zhelobenko operator; MICKELSSON ALGEBRAS; WEYL GROUPS; REPRESENTATIONS; OPERATORS; MODULES; THEOREM;

D O I：

10.1016/j.aim.2010.08.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any complex reductive Lie algebra g and any locally finite g-module V, we extend to the tensor product U(g) circle times V the Harish-Chandra description of g-invariants in the universal enveloping algebra U(g). (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1168 / 1180

页数：13

共 44 条

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[44] Harish Chandra Modules of Rank One Lie Groups with Admissible Restriction to Some Reductive Subgroup [J].

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