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arxiv: 1704.02950 · v1 · pith:UBIDTWPPnew · submitted 2017-04-10 · 🧮 math.QA · math-ph· math.MP· math.RT

An attractive basis for the q-Onsager algebra

Pascal Baseilhac , Samuel Belliard This is my paper
classification 🧮 math.QA math-phmath.MPmath.RT
keywords algebraonsagerbasisattractivetextsfbk05conjectureddimensional
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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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