On the Sum of AlI N-commutators in a Finite Group

Resumo

In the theory of nonassociative algebras - like Lie algebras, alternative algebras, Jordan algebras - the Casimir operator is a useful tool in proving some important theorems. In my Iecture I wiU discuss the Casimir operator in finite group algebras to give simple and elegant proofs of some nown and unknown basic facts from group theory.