On representations of quantum conjugacy classes of \(\mathrm{GL}(n)\)

DOI10.1007/s11005-013-0633-6zbMath1273.81123arXiv1304.7106OpenAlexW3104365170MaRDI QIDQ372910

Andrey Mudrov, Thomas Ashton

Publication date: 21 October 2013

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7106

zbMATH Keywords

quantizationhighest weight modulesPoisson-Lie manifolds

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative geometry in quantum theory (81R60)

Related Items (4)

Representations of quantum conjugacy classes of orthosymplectic groups ⋮ Quantization of borderline Levi conjugacy classes of orthogonal groups ⋮ R-matrix and Mickelsson algebras for orthosymplectic quantum groups ⋮ Quantum flag manifolds, quantum symmetric spaces and their associated universal \(K\)-matrices

Cites Work

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• Quantum sphere \({\mathbb{S}^4}\) as a non-Levi conjugacy class
• Quantum R matrix for the generalized Toda system
• Explicit equivariant quantization on coadjoint orbits of \(\text{GL}(n,\mathbb C)\)
• On quantum methods in the representation theory of reductive Lie algebras
• Non-Levi closed conjugacy classes of \(\mathrm{SP}_q(2n)\).
• Quantum conjugacy classes of simple matrix groups
• Orthogonal basis for the Shapovalov form on $U_q(\mathfrak{sl}(n + 1))$

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