Higher rank classical analogs of the Askey-Wilson algebra from the slN Onsager algebra

The slN-Onsager algebra has been introduced by Uglov and Ivanov in 1995. In this letter, a FRT presentation of the slN-Onsager algebra is given, and its current algebra and commutative subalgebra are constructed. Certain quotients of the slN-Onsager algebra are then considered, which produce “classi...

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Bibliographic Details
Published in:Journal of mathematical physics 2019-08, Vol.60 (8)
Main Authors: Baseilhac, Pascal, Crampé, Nicolas, Pimenta, Rodrigo A.
Format: Article
Language:English
Subjects:
Algebra
Analogs
Current algebra
Physics
Quotients
Online Access:Get full text
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Summary:The slN-Onsager algebra has been introduced by Uglov and Ivanov in 1995. In this letter, a FRT presentation of the slN-Onsager algebra is given, and its current algebra and commutative subalgebra are constructed. Certain quotients of the slN-Onsager algebra are then considered, which produce “classical” (q = 1) analogs of higher rank extensions of the Askey-Wilson algebra. As examples, the cases N = 3 and N = 4 are described in detail.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5111292