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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.
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⟩