LOCAL AUTOMORPHISMS OF SEMISIMPLE ALGEBRAS AND GROUP ALGEBRAS

被引：0

作者：

Wang Dengyin ^{[1
]}

Guan Qi ^{[1
]}

Zhang Dongju ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221008, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2011年 / 31卷 / 04期

关键词：

local automorphisms; simple F-algebras; semisimple F-algebras; group algebras; IDEMPOTENT MATRICES; DERIVATIONS; SPACES; RINGS; MAPS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：1600 / 1612

页数：13

共 50 条

[31] SEMISIMPLE ALGEBRAS, GALOIS ACTIONS AND GROUP COHOMOLOGY
ALJADEFF, E
ROBINSON, DJS
JOURNAL OF PURE AND APPLIED ALGEBRA, 1994, 94 (01) : 1 - 15
[32] ISOMORPHIC INDUCED MODULES AND DYNKIN DIAGRAM AUTOMORPHISMS OF SEMISIMPLE LIE ALGEBRAS
Guilhot, Jeremie
Lecouvey, Cedric
GLASGOW MATHEMATICAL JOURNAL, 2016, 58 (01) : 187 - 203
[33] Local derivations and local automorphisms on the super Virasoro algebras
Wu, Qingyan
Gao, Shoulan
Liu, Dong
Ye, Chang
COMMUNICATIONS IN ALGEBRA, 2024, 52 (06) : 2616 - 2625
[34] INVERSE SEMIGROUPS OF LOCAL AUTOMORPHISMS OF UNIVERSAL ALGEBRAS
BREDIKHIN, DA
SIBERIAN MATHEMATICAL JOURNAL, 1976, 17 (03) : 386 - 393
[35] Local derivations and automorphisms of nilpotent Lie algebras
Khudoyberdiyev, Abror
Jumaniyozov, Doston
COMMUNICATIONS IN ALGEBRA, 2025, 53 (05) : 1921 - 1933
[36] Local automorphisms and derivations on certain C*-algebras
Kim, SO
Kim, JS
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (11) : 3303 - 3307
[37] Local automorphisms of operator algebras on Banach spaces
Molnár, L
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (06) : 1867 - 1874
[38] 2-Local automorphisms of operator algebras
Liu, Junc-Hui
Wong, Ngai-Ching
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 321 (02) : 741 - 750
[39] Automorphisms of blocks of group algebras and character values
Udo Riese
Archiv der Mathematik, 1997, 68 : 184 - 189
[40] ON THE EXTENSION OF UNITARY GROUP AUTOMORPHISMS OF CUNTZ ALGEBRAS
AL-Rawashdeh, A.
ACTA MATHEMATICA HUNGARICA, 2022, 166 (02) : 565 - 579

← 1 2 3 4 5 →