Quantization of borderline Levi conjugacy classes of orthogonal groups

Abstract

We construct equivariant quantization of a special family of Levi conjugacy classes of the complex orthogonal group $SO(N)$, whose stabilizer contains a Cartesian factor $SO(2)\times SO(P)$, $1⩽P<N$, $P\equiv N\mathrm{mod}2$.

23 pages, no figures

References in corpus (4)

• On quantization of Semenov-Tian-Shansky Poisson bracket on simple algebraic groups
• Non-Levi closed conjugacy classes of SP_q(2n)
• On representations of quantum conjugacy classes of GL(n)
• Orthogonal basis for the Shapovalov form on $A_n$

Cited by in corpus (3)

• Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices
• Representations of quantum conjugacy classes of orthosymplectic groups
• Quantum exceptional group $G_2$ and its conjugacy classes