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An attractive basis for the $q-$Onsager algebra (1704.02950v1)
Published 10 Apr 2017 in math.QA, math-ph, math.MP, and math.RT
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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