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Mathematical Physics

arXiv:1811.02763 (math-ph)
[Submitted on 7 Nov 2018]

Title:Higher rank classical analogs of the Askey-Wilson algebra from the $sl_N$ Onsager algebra

Authors:Pascal Baseilhac, Nicolas Crampe, Rodrigo A. Pimenta
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Abstract:The $sl_N$-Onsager algebra has been introduced by Uglov and Ivanov in 1995. In this letter, a FRT presentation of the $sl_N$-Onsager algebra is given, its current algebra and commutative subalgebra are constructed. Certain quotients of the $sl_N$-Onsager algebra are then considered, which produce `classical' analogs of higher rank extensions of the Askey-Wilson algebra. As examples, the cases $N=3$ and $N=4$ are described in details.
Comments: 13 pages
Subjects: Mathematical Physics (math-ph); Quantum Algebra (math.QA); Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:1811.02763 [math-ph]
  (or arXiv:1811.02763v1 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.1811.02763
Related DOI: https://doi.org/10.1063/1.5111292

Submission history

From: Pascal Baseilhac [view email]
[v1] Wed, 7 Nov 2018 05:05:41 UTC (18 KB)
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