Algebraic aspect and construction of Lax operators in quantum integrable systems

TL;DR

This paper presents a generalized algebraic framework for constructing Lax operators in quantum integrable systems, expanding on Faddeev's foundational work and enabling the generation of various integrable models.

Contribution

It introduces a more general algebraic construction of Lax operators closely related to Faddeev's approach, facilitating the creation of diverse quantum integrable models.

Findings

Develops a generalized algebraic method for Lax operators

Connects the construction with Faddeev's algebraic framework

Enables generation of multiple quantum integrable models

Abstract

An algebraic construction more general and intimately connected with that of Faddeev$^1$, along with its application for generating different classes of quantum integrable models are summarised to complement the recent results of ref. 1 ( L.D. Faddeev, {\it Int. J. Mod. Phys. } {\bf A10}, 1845 (1995) ).