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arXiv · 1704.02950

An attractive basis for the $q-$Onsager algebra

Pascal Baseilhac·Samuel Belliard
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Abstract

Let $\textsf{A},\textsf{A}^*$ be the fundamental generators of the $q-$Onsager algebra. A linear basis for the $q-$Onsager algebra is known as the `zig-zag' basis [IT09]. In this letter, an attractive basis for the $q-$Onsager algebra is conjectured, based on the relation between the $q-$Onsager algebra and a quotient of the infinite dimensional algebra ${\cal A}_q$ introduced in [BK05].

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Pascal Baseilhac, Samuel Belliard. 2017-04-10. An attractive basis for the $q-$Onsager algebra. https://arxiv.org/abs/1704.02950

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