FRT presentation of the Onsager algebras

Pascal Baseilhac; Samuel Belliard; Nicolas Crampé

FRT presentation of the Onsager algebras

Pascal Baseilhac ^{1, *} Samuel Belliard ² Nicolas Crampé ³

* Corresponding author

1 IDP - Institut Denis Poisson

2 IPHT - Institut de Physique Théorique - UMR CNRS 3681

3 LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique

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.

Keywords : Onsager algebras Tridiagonal algebra Current algebra Yang-Baxter algebra Integrable systems

Document type :

Journal articles

Domain :

Mathematics [math] / Mathematical Physics [math-ph]

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https://hal.archives-ouvertes.fr/hal-02154881
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Submitted on : Thursday, June 13, 2019 - 10:30:55 AM
Last modification on : Saturday, June 15, 2019 - 1:17:38 AM

1709.08555(1).pdf

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FRT presentation of the Onsager algebras

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