A New Solution of the Yang-Baxter Equation Related to the Adjoint Representation of $U_{q}B_{2}$

TL;DR

This paper presents a novel solution to the Yang-Baxter equation derived from the adjoint representation of the quantum algebra $U_{q}B_{2}$, expanding the set of known solutions through fusion techniques.

Contribution

It introduces a new solution to the Yang-Baxter equation related to $U_{q}B_{2}$ using fusion from a non-standard solution, advancing algebraic methods.

Findings

New Yang-Baxter solution related to $U_{q}B_{2}$

Application of fusion formulas to generate solutions

Enhancement of algebraic solution techniques

Abstract

A new solution of the Yang-Baxter equation, that is related to the adjoint representation of the quantum enveloping algebra $U_{q}B_{2}$, is obtained by fusion formulas from a non-standard solution.