Non-Levi closed conjugacy classes of SP_q(2n)

Abstract

We construct explicit quantization of closed conjugacy classes of the complex symplectic group SP(2n) with non-Levi isotropy subgroups through an operator realization on highest weight modules over the quantum group U_q(sp(2n)).

Replaced with the journal version. 38 pages

References in corpus (5)

• On quantization of Semenov-Tian-Shansky Poisson bracket on simple algebraic groups
• Non-Levi closed conjugacy classes of SP_q(2n)
• Quantum sphere S^4 as a non-Levi conjugacy class
• Non-Levi closed conjugacy classes of SO_q(N)
• On dynamical adjoint functor

Cited by in corpus (5)

• Non-Levi closed conjugacy classes of SP_q(2n)
• Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices
• Quantization of borderline Levi conjugacy classes of orthogonal groups
• On representations of quantum conjugacy classes of GL(n)
• Representations of quantum conjugacy classes of orthosymplectic groups