Graded involutions on block-triangular matrix algebras

被引：3
|
作者：
Fidelis, Claudemir [1 ]
Goncalves, Dimas Jose [2 ]
Diniz, Diogo [1 ]
Yasumura, Felipe Yukihide [3 ]
机构：
[1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429970 Campina Grande, Paraiba, Brazil
[2] Univ Fed Sao Carlos, Dept Math, BR-13565905 Sao Carlos, SP, Brazil
[3] Univ Estadual Maringa, Dept Math, Maringa, Parana, Brazil
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2020年 / 585卷 / 585期
关键词：
Graded algebra; Upper block-triangular matrices; Antiautomorphism; Involution; GROUP GRADINGS; LIE; JORDAN;
D O I：
10.1016/j.laa.2019.09.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we classify the ordinary and graded involutions on block-triangular matrix algebras over an algebraically closed field of characteristic not equal 2. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：24 / 44
页数：21
相关论文
共 50 条
  • [1] GRADINGS ON BLOCK-TRIANGULAR MATRIX ALGEBRAS
    Diniz, Diogo
    Da Silva, Jose Lucas Galdino
    Koshlukov, Plamen
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, : 119 - 127
  • [2] Block-triangular matrix algebras and factorable ideals of graded polynomial identities
    Di Vincenzo, OM
    La Scala, R
    [J]. JOURNAL OF ALGEBRA, 2004, 279 (01) : 260 - 279
  • [3] Graded Involutions on Upper-triangular Matrix Algebras
    Valenti, A.
    Zaicev, M. V.
    [J]. ALGEBRA COLLOQUIUM, 2009, 16 (01) : 103 - 108
  • [4] Graded identities and isomorphisms on algebras of upper block-triangular matrices
    Ramos, Alex
    Diniz, Diogo
    [J]. JOURNAL OF ALGEBRA, 2019, 523 : 201 - 216
  • [5] Graded identities of block-triangular matrices
    Pereira Da Silva e Silva, Diogo Diniz
    de Mello, Thiago Castilho
    [J]. JOURNAL OF ALGEBRA, 2016, 464 : 246 - 265
  • [6] Involutions on graded matrix algebras
    Bahturin, Yuri
    Zalcev, Mikhail
    [J]. JOURNAL OF ALGEBRA, 2007, 315 (02) : 527 - 540
  • [7] Graded isomorphisms on upper block triangular matrix algebras
    Borges, Alex Ramos
    Fidelis, Claudemir
    Diniz, Diogo
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 543 : 92 - 105
  • [8] Involutions for upper triangular matrix algebras
    Di Vincenzo, Onofrio Mario
    Koshlukov, Plamen
    La Scala, Roberto
    [J]. ADVANCES IN APPLIED MATHEMATICS, 2006, 37 (04) : 541 - 568
  • [9] Graded polynomial identities on upper block triangular matrix algebras
    Di Vincenzo, Onofrio Mario
    Spinelli, Ernesto
    [J]. JOURNAL OF ALGEBRA, 2014, 415 : 50 - 64
  • [10] Counting gradings on Lie algebras of block-triangular matrices
    Diniz, Diogo
    Borges, Alex Ramos
    Fonsêca, Eduardo
    [J]. Linear Algebra and Its Applications, 2024, 703 : 504 - 527
12345