Fractional spin through quantum strange superalgebra $\tilde{P}_{Q}(n)$

TL;DR

This paper explores the properties of the quantum strange superalgebra $ ilde{P}_{Q}(n)$ at roots of unity, revealing new algebraic structures and potential applications in quantum algebra.

Contribution

It introduces and analyzes the behavior of the quantum extended strange superalgebra $ ilde{P}_{Q}(n)$ at roots of unity, a novel aspect in quantum algebra research.

Findings

Identification of unique algebraic properties at roots of unity

Development of new mathematical structures within $ ilde{P}_{Q}(n)$

Potential implications for quantum algebra and related fields

Abstract

The purposes of this paper is to investigate the properties of the quantum extended strange superalgebra $\tilde{P}_{Q}(n)$ when his deformation parameter $Q$ goes to a root of unity.