Higher rank classical analogs of the Askey-Wilson algebra from the <i>sl</i><sub><i>N</i></sub> Onsager algebra
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Abstract
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.
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