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An attractive basis for the $q-$Onsager algebra

Quantum Algebra 2017-04-11 v1 Mathematical Physics math.MP Representation Theory

Abstract

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

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Cite

@article{arxiv.1704.02950,
  title  = {An attractive basis for the $q-$Onsager algebra},
  author = {Pascal Baseilhac and Samuel Belliard},
  journal= {arXiv preprint arXiv:1704.02950},
  year   = {2017}
}

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14 pages