数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (4): 1600-1612.doi: 10.1016/S0252-9602(11)60346-9

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LOCAL AUTOMORPHISMS OF SEMISIMPLE ALGEBRAS AND GROUP ALGEBRAS

王登银|关琦|张冬菊   

  1. Department of Mathematics, China University of Mining and Technology, Xuzhou 221008, China
  • 收稿日期:2008-10-28 修回日期:2010-05-12 出版日期:2011-07-20 发布日期:2011-07-20
  • 基金资助:

    Supported by the Fundamental Research Funds for the Central Universities.

LOCAL AUTOMORPHISMS OF SEMISIMPLE ALGEBRAS AND GROUP ALGEBRAS

 WANG Deng-Yin, GUAN Qi, ZHANG Dong-Ju   

  1. Department of Mathematics, China University of Mining and Technology, Xuzhou 221008, China
  • Received:2008-10-28 Revised:2010-05-12 Online:2011-07-20 Published:2011-07-20
  • Supported by:

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

关键词: local automorphisms, simple F-algebras, semisimple F-algebras, group al-gebras

Abstract:

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.

Key words: local automorphisms, simple F-algebras, semisimple F-algebras, group al-gebras

中图分类号: 

  • 15A04