Quantization of U_q[so(2n+1)] with deformed para-Fermi operators

TL;DR

This paper introduces a new approach to quantize the algebra U_q[so(2n+1)] using deformed para-Fermi operators, providing an alternative to traditional Chevalley generators and expressing the algebra's structure in terms of these operators.

Contribution

It presents a novel quantization method of U_q[so(2n+1)] via deformed para-Fermi operators, offering an alternative to Chevalley generators.

Findings

Deformed para-Fermi operators generate U_q[so(2n+1)]

U_q[so(2n+1)] expressed in terms of deformed pB operators

Alternative to Chevalley generators for the algebra

Abstract

The observation that n pairs of para-Fermi (pF) operators generate the universal enveloping algebra of the orthogonal Lie algebra so(2n+1) is used in order to define deformed pF operators. It is shown that these operators are an alternative to the Chevalley generators. On this background Uq[so(2n+1)] and its "Cartan-Weyl" generators are written down entirely in terms of deformed pB operators.