FRT presentation of the Onsager algebras

Abstract

A presentation à la Faddeev–Reshetikhin–Takhtajan (FRT) of the Onsager, augmented Onsager and sl2-invariant Onsager algebras is given, using the framework of the nonstandard classical Yang–Baxter algebras. Associated current algebras are identified, and generating functions of mutually commuting quantities are obtained.