Remarks on Sekine quantum groups
Czechoslovak Mathematical Journal (2022)
- Volume: 72, Issue: 3, page 695-707
- ISSN: 0011-4642
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topChen, Jialei, and Yang, Shilin. "Remarks on Sekine quantum groups." Czechoslovak Mathematical Journal 72.3 (2022): 695-707. <http://eudml.org/doc/298387>.
@article{Chen2022,
abstract = {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 $r(\mathcal \{A\}_\{k\})$.},
author = {Chen, Jialei, Yang, Shilin},
journal = {Czechoslovak Mathematical Journal},
keywords = {Sekine quantum group; representation ring; Casimir number},
language = {eng},
number = {3},
pages = {695-707},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Remarks on Sekine quantum groups},
url = {http://eudml.org/doc/298387},
volume = {72},
year = {2022},
}
TY - JOUR
AU - Chen, Jialei
AU - Yang, Shilin
TI - Remarks on Sekine quantum groups
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 3
SP - 695
EP - 707
AB - 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 $r(\mathcal {A}_{k})$.
LA - eng
KW - Sekine quantum group; representation ring; Casimir number
UR - http://eudml.org/doc/298387
ER -
References
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