1. Grothendieck ring of quantum double of finite groups
- Creator:
- Dong, Jingchen
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Grothendieck ring, quantum double, Yetter-Drinfeld module, and dihedral group
- Language:
- English
- Description:
- 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 $2n$.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public