Acta mathematica scientia, Series B >
LOCAL AUTOMORPHISMS OF SEMISIMPLE ALGEBRAS AND GROUP ALGEBRAS
Received date: 2008-10-28
Revised date: 2010-05-12
Online published: 2011-07-20
Supported by
Supported by the Fundamental Research Funds for the Central Universities.
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.
WANG Deng-Yin , GUAN Qi , ZHANG Dong-Ju . LOCAL AUTOMORPHISMS OF SEMISIMPLE ALGEBRAS AND GROUP ALGEBRAS[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1600 -1612 . DOI: 10.1016/S0252-9602(11)60346-9
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