Grothendieck ring of quantum double of finite groups

Dong, Jingcheng. "Grothendieck ring of quantum double of finite groups." Czechoslovak Mathematical Journal 60.3 (2010): 869-879. <http://eudml.org/doc/38046>.

@article{Dong2010,
abstract = {Let $kG$ be a group algebra, and $D(kG)$ its quantum double. We first prove that the structure of the Grothendieck ring of $D(kG)$ can be induced from the Grothendieck ring of centralizers of representatives of conjugate classes of $G$. As a special case, we then give an application to the group algebra $kD_n $, where $k$ is a field of characteristic $2$ and $D_n $ is a dihedral group of order $2n$.},
author = {Dong, Jingcheng},
journal = {Czechoslovak Mathematical Journal},
keywords = {Grothendieck ring; quantum double; Yetter-Drinfeld module; dihedral group; Grothendieck rings; quantum doubles; Yetter-Drinfeld modules; dihedral groups},
language = {eng},
number = {3},
pages = {869-879},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Grothendieck ring of quantum double of finite groups},
url = {http://eudml.org/doc/38046},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Dong, Jingcheng
TI - Grothendieck ring of quantum double of finite groups
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 3
SP - 869
EP - 879
AB - Let $kG$ be a group algebra, and $D(kG)$ its quantum double. We first prove that the structure of the Grothendieck ring of $D(kG)$ can be induced from the Grothendieck ring of centralizers of representatives of conjugate classes of $G$. As a special case, we then give an application to the group algebra $kD_n $, where $k$ is a field of characteristic $2$ and $D_n $ is a dihedral group of order $2n$.
LA - eng
KW - Grothendieck ring; quantum double; Yetter-Drinfeld module; dihedral group; Grothendieck rings; quantum doubles; Yetter-Drinfeld modules; dihedral groups
UR - http://eudml.org/doc/38046
ER -