FRT presentation of the Onsager algebras

TL;DR

This paper introduces an FRT presentation of the Onsager algebras within the framework of non-standard classical Yang-Baxter algebras, identifying associated current algebras and generating functions for commuting quantities.

Contribution

It provides a novel FRT presentation of Onsager algebras and related structures using non-standard classical Yang-Baxter algebra techniques.

Findings

FRT presentation of Onsager algebras established

Associated current algebras identified

Generating functions of commuting quantities derived

Abstract

A presentation \`a la Faddeev-Reshetikhin-Takhtajan (FRT) of the Onsager, augmented Onsager and sl(2)-invariant Onsager algebras is given, using the framework of the non-standard classical Yang-Baxter algebras. Associated current algebras are identified, and generating functions of mutually commuting quantities are obtained.