LOCAL AUTOMORPHISMS OF SEMISIMPLE ALGEBRAS AND GROUP ALGEBRAS  

作　　者：王登银 关琦 张冬菊 

机构地区：[1]Department of Mathematics, China University of Mining and Technology

出　　处：《Acta Mathematica Scientia》2011年第4期1600-1612,共13页数学物理学报（B辑英文版）

基　　金：Supported by the Fundamental Research Funds for the Central Universities

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, F K the group algebra of K over F , then all local automorphisms of F K are also characterized.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, F K the group algebra of K over F , then all local automorphisms of F K are also characterized.

关 键 词：local automorphisms simple F -algebras semisimple F -algebras group algebras 

分 类 号：O152[理学—数学]