Covariant Structure Constants for Deformed Oscillator Algebra

TL;DR

This paper derives covariant expressions for the structure constants of the associative algebra of deformed oscillators, providing a new algebraic framework with potential applications in mathematical physics.

Contribution

It introduces $sl_2$-covariant formulas for the structure constants of the deformed oscillator algebra $Aq(2, u)$, advancing the understanding of its algebraic structure.

Findings

Derived explicit $sl_2$-covariant structure constants

Enhanced algebraic understanding of deformed oscillators

Potential applications in mathematical physics and quantum algebra

Abstract

$sl_2$-covariant expressions for structure constants of the associative algebra of deformed oscillators $Aq\left(2,\nu\right)$ are obtained.