LOCAL AUTOMORPHISMS OF SEMISIMPLE ALGEBRAS AND GROUP ALGEBRAS

摘要

Let F be a field of characteristic not 2,and let A be a finite-dimensional semisimple F-algebra.All local automorphisms of A are characterized when all the degrees of A are larger than 1.If F is further assumed to be an algebraically closed field of characteristic zero,K a finite group,FK the group algebra of K over F,then all local automorphisms of FK are also characterized.