Derivations of group algebras over fields. (English) Zbl 1169.16305
Summary: Let \(F\) be an algebraically closed field of characteristic zero, \(K\) a finite group and \(FK\) the group algebra of \(K\) over \(F\). In this paper, all derivations of \(FK\) are characterized.
MSC:
16W25 | Derivations, actions of Lie algebras |
16S34 | Group rings |
16S50 | Endomorphism rings; matrix rings |
20C05 | Group rings of finite groups and their modules (group-theoretic aspects) |