A quantization of conjugacy classes of matrices

DOI10.1016/j.aim.2004.08.013zbMath1101.17005OpenAlexW2053814218MaRDI QIDQ2566195

Toshio Oshima

Publication date: 22 September 2005

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2004.08.013

zbMATH Keywords

quantizationuniversal enveloping algebraconjugacy classgeneralized Verma modulegeneralized Capelli operators

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Canonical forms, reductions, classification (15A21)

Related Items (3)

Generalized Whittaker functions for degenerate principal series of \(\mathrm{GL}(n, \mathbb{R})\) ⋮ Middle convolution and Harnad duality ⋮ Boundary Value Problems on Riemannian Symmetric Spaces of the Noncompact Type

Cites Work

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• Multiplicity of the Adjoint Representation in Simple Quotients of the Enveloping Algebra of a Simple Lie Algebra
• Dixmier's Problem for Verma and Principal Series Submodules
• ANNIHILATORS OF GENERALIZED VERMA MODULES OF THE SCALAR TYPE FOR CLASSICAL LIE ALGEBRAS
• Lie Group Representations on Polynomial Rings

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