An integral basis for the universal enveloping algebra of the Onsager algebra

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 Nov 2021Embargo end date: 01 Jan 2020 English Publisher:Informa UK LimitedJournal:Communications in Algebra, volume 50, pages 2,312-2,335 (issn: 0092-7872, eissn: 1532-4125,

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Authors: Angelo Bianchi; Samuel Chamberlin;

doi: 10.1080/00927872.2021.2006207 , 10.48550/arxiv.2006.11219

arXiv: 2006.11219

An integral basis for the universal enveloping algebra of the Onsager algebra

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Abstract

We construct an integral form for the universal enveloping algebra of the Onsager algebra and an explicit integral basis for this integral form. We also formulate straightening identities among some products of basis elements.

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Keywords

Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras, Representation Theory (math.RT), Primary 17B65, Secondary 17B05, Mathematics - Representation Theory

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