Jordan-Schwinger Representations and Factorised Yang-Baxter Operators

TL;DR

This paper explores the construction of Yang-Baxter R operators for q-deformed sl(n+1) using Jordan-Schwinger representations, providing explicit formulations and operators for parameter exchange and intertwining.

Contribution

It introduces explicit Jordan-Schwinger representations for q-deformed sl(n+1) and derives associated parameter exchange and intertwining operators.

Findings

Explicit Jordan-Schwinger representations formulated.

Parameter exchange operators derived.

Intertwining operators constructed.

Abstract

The construction elements of the factorised form of the Yang-Baxter R operator acting on generic representations of q-deformed sl(n+1) are studied. We rely on the iterative construction of such representations by the restricted class of Jordan-Schwinger representations. The latter are formulated explicitly. On this basis the parameter exchange and intertwining operators are derived.