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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)
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