Geodesic
A family of tridiagonal pairs related to the quantum affine algebra $U_q(\widehat{{sl}_2})$
The electronic journal of linear algebra, Tome 13 (2005), pp. 1-9.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A type of tridiagonal pair is considered, said to be mild of q-Serre type. It is shown that these tridiagonal pairs induce the structure of a quantum affine algebra $Uq( csl2)$-module on their underlying vector space. This is done by presenting an explicit basis for the underlying vector space and describing the $Uq( csl2)$-action on that basis.
Classification : 20G42, 15A04, 33D80, 05E35, 33C45, 33D45
Keywords: leonard pair, tridiagonal pair, quantum affine algebra 
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Alnajjar, Hasan; Curtin, Brian. A family of tridiagonal pairs related to the quantum affine algebra $U_q(\widehat{{sl}_2})$. The electronic journal of linear algebra, Tome 13 (2005), pp. 1-9. http://geodesic.mathdoc.fr/item/ELA_2005__13__a24/