Non-Levi closed conjugacy classes of SO_q(N)

TL;DR

This paper develops an explicit quantization method for semisimple conjugacy classes of the quantum orthogonal group SO_q(N), focusing on classes with non-Levi isotropy subgroups, using operator realizations on highest weight modules.

Contribution

It introduces a new explicit quantization approach for non-Levi conjugacy classes of SO_q(N) via operator realizations on highest weight modules.

Findings

Constructed explicit quantizations for non-Levi conjugacy classes.

Provided operator realizations on highest weight modules.

Extended the understanding of quantum group conjugacy classes.

Abstract

We construct explicit quantization of semisimple conjugacy classes of the complex orthogonal group SO(N) with non-Levi isotropy subgroups through an operator realization on highest weight modules of the quantum group U_q(so(N)).