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FRT presentation of the Onsager algebras
Journal article   Open access   Peer reviewed

FRT presentation of the Onsager algebras

Pascal Baseilhac, Samuel Belliard and Nicolas Crampé
Letters in Mathematical Physics, Vol.108(10), pp.2189-2212
10/2018

Abstract

Onsager algebras Integrable systems Yang-Baxter algebra Tridiagonal algebra Current algebra MSC: 81R50; 81R10; 81U15.
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.
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