English

A generalized Harish-Chandra isomorphism

Representation Theory 2010-11-22 v3 Rings and Algebras

Abstract

For any complex reductive Lie algebra g and any locally finite g-module V, we extend to the tensor product of U(g) with V the Harish-Chandra description of g-invariants in the universal enveloping algebra U(g).

Keywords

Cite

@article{arxiv.0912.1100,
  title  = {A generalized Harish-Chandra isomorphism},
  author = {Sergey Khoroshkin and Maxim Nazarov and Ernest Vinberg},
  journal= {arXiv preprint arXiv:0912.1100},
  year   = {2010}
}

Comments

13 pages, final version

R2 v1 2026-06-21T14:20:10.829Z