A generalized Harish-Chandra isomorphism

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).

arXiv comment13 pages, final version

References in corpus (4)

• Mickelsson algebras and Zhelobenko operators
• Yangians and Mickelsson Algebras I
• Duality for Knizhnik-Zamolodchikov and Dynamical Equations
• 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
• Rational and polynomial representations of Yangians
• On vector-valued twisted conjugate invariant functions on a group
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• 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