Geodesic
$q$-Universal characters and an extension of the lattice $q$-universal characters
Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 1, pp. 51-68 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider two different subjects: the $q$-deformed universal characters $\widetilde S_{[\lambda,\mu]}(t,\hat t;x,\hat x)$ and the $q$-deformed universal character hierarchy. The former are an extension of $q$-deformed Schur polynomials, and the latter can be regarded as a generalization of the $q$-deformed KP hierarchy. We investigate solutions of the $q$-deformed universal character hierarchy and find that the solution can be expressed by the boson–fermion correspondence. We also study a two-component integrable system of $q$-difference equations satisfied by the two-component universal character.
Mots-clés : $q$-deformation, boson–fermion correspondence
Keywords: universal character, $q$-deformed universal character hierarchy, lattice $q$-deformed universal character hierarchy. 
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Yang Gao; Chuanzhong Li. $q$-Universal characters and an extension of the lattice $q$-universal characters. Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 1, pp. 51-68. http://geodesic.mathdoc.fr/item/TMF_2021_208_1_a3/

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