4.2 Article

FRT presentation of the Onsager algebras

Journal

LETTERS IN MATHEMATICAL PHYSICS
Volume 108, Issue 10, Pages 2189-2212

Publisher

SPRINGER
DOI: 10.1007/s11005-018-1068-x

Keywords

Onsager algebras; Tridiagonal algebra; Current algebra; Yang-Baxter algebra; Integrable systems

Funding

  1. C.N.R.S
  2. Investissement d'avenir project, LabEx LMH [ANR-11-LABX-0056-LMH]

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A presentation A la Faddeev-Reshetikhin-Takhtajan (FRT) of the Onsager, augmented Onsager and -invariant Onsager algebras is given, using the framework of the nonstandard classical Yang-Baxter algebras. Associated current algebras are identified, and generating functions of mutually commuting quantities are obtained.

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