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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_2021_208_1_a3,
     author = {Yang Gao and Chuanzhong Li},
     title = {$q${-Universal} characters and an~extension of the~lattice  $q$-universal characters},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {51--68},
     publisher = {mathdoc},
     volume = {208},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_208_1_a3/}
}
TY  - JOUR
AU  - Yang Gao
AU  - Chuanzhong Li
TI  - $q$-Universal characters and an~extension of the~lattice  $q$-universal characters
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2021
SP  - 51
EP  - 68
VL  - 208
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2021_208_1_a3/
LA  - ru
ID  - TMF_2021_208_1_a3
ER  - 
%0 Journal Article
%A Yang Gao
%A Chuanzhong Li
%T $q$-Universal characters and an~extension of the~lattice  $q$-universal characters
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2021
%P 51-68
%V 208
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2021_208_1_a3/
%G ru
%F TMF_2021_208_1_a3
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/