Grothendieck ring of quantum double of finite groups

Title:

Grothendieck ring of quantum double of finite groups

Creator:

Dong, Jingchen

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:514f1234-50dd-4576-90f6-43a908fbd65b
uuid:514f1234-50dd-4576-90f6-43a908fbd65b

Subject:

Grothendieck ring, quantum double, Yetter-Drinfeld module, and dihedral group

Type:

model:article and TEXT

Format:

bez média and svazek

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 $2n$.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

869-879

Source:

Czechoslovak Mathematical Journal | 2010 Volume:60 | Number:3

Harvested from:

CDK

Metadata only:

false