We introduce and study an inhomogeneous generalization of the spin -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 -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.
Accepted:
Published online:
Alexei Borodin 1; Sergei Korotkikh 1
CC-BY 4.0
@article{AFST_2024_6_33_1_1_0,
author = {Alexei Borodin and Sergei Korotkikh},
title = {Inhomogeneous spin $q${-Whittaker} polynomials},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {1--68},
publisher = {Universit\'e Paul Sabatier, Toulouse},
volume = {Ser. 6, 33},
number = {1},
year = {2024},
doi = {10.5802/afst.1761},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1761/}
}
TY - JOUR AU - Alexei Borodin AU - Sergei Korotkikh TI - Inhomogeneous spin $q$-Whittaker polynomials JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2024 SP - 1 EP - 68 VL - 33 IS - 1 PB - Université Paul Sabatier, Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1761/ DO - 10.5802/afst.1761 LA - en ID - AFST_2024_6_33_1_1_0 ER -
%0 Journal Article %A Alexei Borodin %A Sergei Korotkikh %T Inhomogeneous spin $q$-Whittaker polynomials %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2024 %P 1-68 %V 33 %N 1 %I Université Paul Sabatier, Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1761/ %R 10.5802/afst.1761 %G en %F AFST_2024_6_33_1_1_0
Alexei Borodin; Sergei Korotkikh. Inhomogeneous spin $q$-Whittaker polynomials. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 33 (2024) no. 1, pp. 1-68. doi : 10.5802/afst.1761. https://afst.centre-mersenne.org/articles/10.5802/afst.1761/
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