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

TL;DR

This paper presents an explicit quantization method for non-Levi closed conjugacy classes of the complex symplectic group SP(2n) using operator realizations on highest weight modules over the quantum group U_q(sp(2n)).

Contribution

It introduces a novel explicit quantization construction for a specific class of conjugacy classes in SP(2n) with non-Levi isotropy subgroups.

Findings

Explicit operator realizations on highest weight modules

Quantization of non-Levi conjugacy classes achieved

Framework applicable to complex symplectic groups

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)).