English

FRT presentation of the Onsager algebras

Mathematical Physics 2018-03-21 v2 math.MP

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.

Keywords

Cite

@article{arxiv.1709.08555,
  title  = {FRT presentation of the Onsager algebras},
  author = {Pascal Baseilhac and Samuel Belliard and Nicolas Crampe},
  journal= {arXiv preprint arXiv:1709.08555},
  year   = {2018}
}

Comments

Details added in Section 4; Definition 4.2 modified