FRT presentation of the Onsager algebras

Abstract

A presentation à 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.

Details added in Section 4; Definition 4.2 modified

References in corpus (2)

• Non-Abelian symmetries of the half-infinite XXZ spin chain
• Integrable Models From Twisted Half Loop Algebras

Cited by in corpus (10)

• Onsager symmetries in $U(1)$-invariant clock models
• Conjectures on Hidden Onsager Algebra Symmetries in Interacting Quantum Lattice Models
• Generalised Onsager Algebra in Quantum Lattice Models
• Closed hierarchy of Heisenberg equations in integrable models with Onsager algebra
• Heun operator of Lie type and the modified algebraic Bethe ansatz
• FRT presentation of classical Askey-Wilson algebras
• A conjecture concerning the $q$-Onsager algebra
• Truncation of the reflection algebra and the Hahn algebra
• The $q$-Onsager algebra and its alternating central extension
• Higher order Hamiltonians for the trigonometric Gaudin model