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FRT presentation of the Onsager algebras

Pascal Baseilhac 1, * Samuel Belliard 2 Nicolas Crampé 1, 3 
* Corresponding author
1 LMPT - Laboratoire de Mathématiques et Physique Théorique
2 IPHT - Institut de Physique Théorique - UMR CNRS 3681
3 L2C - Laboratoire Charles Coulomb
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 Integrable systems Yang-Baxter algebra Tridiagonal algebra Current algebra
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Submitted on : Thursday, June 13, 2019 - 10:30:55 AM
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Pascal Baseilhac, Samuel Belliard, Nicolas Crampé. FRT presentation of the Onsager algebras. Letters in Mathematical Physics, Springer Verlag, 2018, 108 (10), pp.2189-2212. ⟨10.1007/s11005-018-1068-x⟩. ⟨hal-02154881⟩

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