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math.RTDec 1, 2009
33
citations (OpenAlex)
authors
  • Sergey Khoroshkin
  • Maxim Nazarov
  • Ernest Vinberg
institutions
  • Institute for Theoretical and Experimental Physics
  • Lomonosov Moscow State University
  • National Research University Higher School of Economics
  • University of York
arXiv abstractPDF
paper

A generalized Harish-Chandra isomorphism

arXiv:0912.1100 · doi:10.1016/j.aim.2010.08.001

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).

13 pages, final version

References in corpus (1)

  • Mickelsson algebras and representations of Yangians

Cited by in corpus (11)

  • Isospectral commuting variety, the Harish-Chandra D-module, and principal nilpotent pairs
  • Irreducible representations of Yangians
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  • On vector-valued twisted conjugate invariant functions on a group
  • Diagonal reduction algebra and reflection equation
  • Analogue Zhelobenko Invariants and the Kostant Clifford Algebra Conjecture
  • On the Kostant conjecture for Clifford algebra
  • Zhelobenko Invariants, Bernstein-Gelfand-Gelfand operators and the analogue Kostant Clifford Algebra Conjecture
  • On the functor of Arakawa, Suzuki and Tsuchiya
  • The geometric meaning of Zhelobenko operators
  • Modules for Relative Yangians (Family Algebras) and Kazhdan-Lusztig Polynomials
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