Classification of involutions on graded-division simple real algebras

被引:6
|
作者
Bahturin, Yuri [1 ]
Kochetov, Mikhail [1 ]
Rodrigo-Escudero, Adrian [2 ,3 ]
机构
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
[2] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain
[3] Univ Zaragoza, Inst Univ Matemat & Aplicac, E-50009 Zaragoza, Spain
基金
加拿大自然科学与工程研究理事会;
关键词
Graded algebra; Involution; Division grading; Simple real algebra; Classification; SIMPLE LIE-ALGEBRAS; GROUP GRADINGS;
D O I
10.1016/j.laa.2018.01.040
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We classify, up to isomorphism and up to equivalence, involutions on graded-division finite-dimensional simple real (associative) algebras, when the grading group is abelian. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码:1 / 36
页数:36
相关论文
共 50 条
  • [31] Correspondences between valued division algebras and graded division algebras
    Hwang, YS
    Wadsworth, AR
    JOURNAL OF ALGEBRA, 1999, 220 (01) : 73 - 114
  • [32] Classification of involutions on finitary incidence algebras
    Brusamarello, Rosali
    Fornaroli, Erica Zancanella
    Santulo Junior, Ednei Aparecido
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2014, 24 (08) : 1085 - 1098
  • [34] CLASSIFICATION OF SIMPLE GRADED LIE-ALGEBRAS OF FINITE GROWTH
    MATHIEU, O
    INVENTIONES MATHEMATICAE, 1992, 108 (03) : 455 - 519
  • [35] Graded Involutions on Upper-triangular Matrix Algebras
    Valenti, A.
    Zaicev, M. V.
    ALGEBRA COLLOQUIUM, 2009, 16 (01) : 103 - 108
  • [36] Graded involutions on block-triangular matrix algebras
    Fidelis, Claudemir
    Goncalves, Dimas Jose
    Diniz, Diogo
    Yasumura, Felipe Yukihide
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 585 (585) : 24 - 44
  • [37] ON GRADED SIMPLE ALGEBRAS
    Hazrat, Roozbeh
    Millar, Judith R.
    JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 2010, 5 (01) : 113 - 124
  • [38] A QUESTION ON THE DISCRIMINANTS OF INVOLUTIONS OF CENTRAL DIVISION-ALGEBRAS
    PARIMALA, R
    SRIDHARAN, R
    SURESH, V
    MATHEMATISCHE ANNALEN, 1993, 297 (04) : 575 - 580
  • [39] Graded simple Lie algebras and graded simple representations
    Mazorchuk, Volodymyr
    Zhao, Kaiming
    MANUSCRIPTA MATHEMATICA, 2018, 156 (1-2) : 215 - 240
  • [40] Graded simple Lie algebras and graded simple representations
    Volodymyr Mazorchuk
    Kaiming Zhao
    manuscripta mathematica, 2018, 156 : 215 - 240