no. 1
Inhomogeneous spin q-Whittaker polynomials
Borodin, Alexei1 ; Korotkikh, Sergei1
1Department of Mathematics, Massachusetts Institute of Technology, Cambridge MA 02139, USA
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 33 (2024) no. 1, pp. 1-68

We introduce and study an inhomogeneous generalization of the spin q-Whittaker polynomials from [15]. These are symmetric polynomials, and we prove a branching rule, skew dual and non-dual Cauchy identities, and an integral representation for them. Our main tool is a novel family of deformed Yang–Baxter equations.

Nous introduisons et étudions une généralisation inhomogène des polynômes spin de q-Whittaker de [15]. Ce sont des polynômes symétriques, et nous prouvons une règle de branchement, des identités de Cauchy asymétriques duales et non duales, et une représentation intégrale pour ces polynômes. Nous prouvons une règle de branchement, des identités de Cauchy asymétriques, duales et non-duelles, et une représentation intégrale pour ces polynômes. Notre outil principal est une nouvelle famille d’équations de Yang–Baxter déformées.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/afst.1761

Borodin, Alexei  1   ; Korotkikh, Sergei  1

1 Department of Mathematics, Massachusetts Institute of Technology, Cambridge MA 02139, USA
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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Borodin, Alexei; Korotkikh, Sergei. Inhomogeneous spin $q$-Whittaker polynomials. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 33 (2024) no. 1, pp. 1-68. doi: 10.5802/afst.1761

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