Geodesic
Remarks on Sekine quantum groups
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 3, pp. 695-707

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We first describe the Sekine quantum groups $\mathcal {A}_{k}$ (the finite-dimensional Kac algebra of Kac-Paljutkin type) by generators and relations explicitly, which maybe convenient for further study. Then we classify all irreducible representations of $\mathcal {A}_{k}$ and describe their representation rings $r(\mathcal {A}_{k})$. Finally, we compute the the Frobenius-Perron dimension of the Casimir element and the Casimir number of $r(\mathcal {A}_{k})$.
DOI : 10.21136/CMJ.2022.0112-21
Classification : 16D70, 16G10, 16T05
Keywords: Sekine quantum group; representation ring; Casimir number 
@article{10_21136_CMJ_2022_0112_21,
     author = {Chen, Jialei and Yang, Shilin},
     title = {Remarks on {Sekine} quantum groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {695--707},
     publisher = {mathdoc},
     volume = {72},
     number = {3},
     year = {2022},
     doi = {10.21136/CMJ.2022.0112-21},
     mrnumber = {4467936},
     zbl = {07584096},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0112-21/}
}
TY  - JOUR
AU  - Chen, Jialei
AU  - Yang, Shilin
TI  - Remarks on Sekine quantum groups
JO  - Czechoslovak Mathematical Journal
PY  - 2022
SP  - 695
EP  - 707
VL  - 72
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0112-21/
DO  - 10.21136/CMJ.2022.0112-21
LA  - en
ID  - 10_21136_CMJ_2022_0112_21
ER  - 
%0 Journal Article
%A Chen, Jialei
%A Yang, Shilin
%T Remarks on Sekine quantum groups
%J Czechoslovak Mathematical Journal
%D 2022
%P 695-707
%V 72
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0112-21/
%R 10.21136/CMJ.2022.0112-21
%G en
%F 10_21136_CMJ_2022_0112_21
Chen, Jialei; Yang, Shilin. Remarks on Sekine quantum groups. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 3, pp. 695-707. doi: 10.21136/CMJ.2022.0112-21

Cité par Sources :