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.
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页码：1168 / 1180
页数：13
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