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Journal Articles Journal of Physics A: Mathematical and Theoretical Year : 2019

Truncation of the reflection algebra and the Hahn algebra

Abstract

In the context of connections between algebras coming from quantum integrable systems and algebras associated to the orthogonal polynomials of the Askey scheme, we prove that the truncated reflection algebra attached to the Yangian of sl2 is isomorphic to the Hahn algebra. As a by-product, we provide a general setup based on Euler polynomials to study truncations of reflection algebras.
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Dates and versions

hal-02305525 , version 1 (04-10-2019)

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Nicolas Crampé, Eric Ragoucy, Luc Vinet, Alexei Zhedanov. Truncation of the reflection algebra and the Hahn algebra. Journal of Physics A: Mathematical and Theoretical, 2019, 52 (35), pp.35LT01. ⟨10.1088/1751-8121/ab32f8⟩. ⟨hal-02305525⟩
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