Involutions on graded matrix algebras

被引：24
|
作者：
Bahturin, Yuri [1 ]
Zalcev, Mikhail
机构：
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
[2] Moscow MV Lomonosov State Univ, Fac Math & Mech, Dept Algebra, Moscow 119992, Russia
来源：
JOURNAL OF ALGEBRA | 2007年 / 315卷 / 02期
基金：
俄罗斯基础研究基金会; 加拿大自然科学与工程研究理事会;
关键词：
matrix algebras; graded algebras; involutions; automorphisnis and antiautomorphisins;
D O I：
10.1016/j.jalgebra.2006.10.046
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we describe graded antiautomorphisms of finite order on matrix algebras endowed with a group gradings by a finite abelian group over an arbitrary algebraically closed field of characteristic different front 2. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：527 / 540
页数：14
相关论文
共 50 条
  • [31] Extending involutions on Frobenius algebras
    Pascale Chuard-Koulmann
    Jorge Morales
    manuscripta mathematica, 2002, 108 : 439 - 451
  • [32] Automorphisms and involutions on incidence algebras
    Brusamarello, Rosali
    Lewis, David W.
    LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (11): : 1247 - 1267
  • [33] EXISTENCE OF INVOLUTIONS ON SIMPLE ALGEBRAS
    SCHARLAU, W
    MATHEMATISCHE ZEITSCHRIFT, 1975, 145 (01) : 29 - 32
  • [34] Clifford algebras of hyperbolic involutions
    Garibaldi, RS
    MATHEMATISCHE ZEITSCHRIFT, 2001, 236 (02) : 321 - 349
  • [35] CLASSIFICATION OF INVOLUTIONS ON INCIDENCE ALGEBRAS
    Brusamarello, Rosali
    Fornaroli, Erica Z.
    Santulo, Ednei A., Jr.
    COMMUNICATIONS IN ALGEBRA, 2011, 39 (06) : 1941 - 1955
  • [36] Identities with involutions on incidence algebras
    Lemes, Ewerton da Silva
    Santulo Jr, Ednei Aparecido
    COMMUNICATIONS IN ALGEBRA, 2023, 51 (09) : 3873 - 3903
  • [37] Graded isomorphisms on upper block triangular matrix algebras
    Borges, Alex Ramos
    Fidelis, Claudemir
    Diniz, Diogo
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 543 : 92 - 105
  • [38] On the graded central polynomials for elementary gradings in matrix algebras
    Fonseca L.F.G.
    Rendiconti del Circolo Matematico di Palermo, 2013, 62 (2) : 237 - 244
  • [39] Asymptotic Hecke algebras and involutions
    Lusztig, G.
    PERSPECTIVES IN REPRESENTATION THEORY: A CONFERENCE IN HONOR OF IGOR FRENKEL'S 60TH BIRTHDAY ON PERSPECTIVES IN REPRESENTATION THEORY, 2014, 610 : 267 - 278
  • [40] Involutions of semisimple group algebras
    Boulagouaz, M
    Oukhtite, L
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2000, 25 (2C): : 133 - 149
12345