Point Group Invariants in the $U_{qp}(u(2))$ Quantum Algebra Picture

TL;DR

This paper explores the implications of $qp$-quantization on point group invariants within the $U_{qp}(u(2))$ quantum algebra framework, highlighting new theoretical insights and open problems in the field.

Contribution

It introduces a $qp$-quantization approach to point group invariants in the $U_{qp}(u(2))$ algebra, expanding the theoretical understanding of quantum algebra invariants.

Findings

Examines consequences of $qp$-quantization on invariants

Discusses open problems in the $U_{qp}(u(2))$ framework

Provides theoretical insights into quantum algebra invariants

Abstract

Some consequences of a $qp$-quantization of a point group invariant developed in the enveloping algebra of $SU(2)$ are examined in the present note. A set of open problems concerning such invariants in the $U_{qp}(u(2))$ quantum algebra picture is briefly discussed.