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

页码：527 / 540

页数：14

共 50 条

[11] Graded differential geometry of graded matrix algebras
Grosse, H
Reiter, G
JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (12) : 6609 - 6625
[12] Isomorphisms of graded matrix algebras
Chasov, A.A.
Vestnik Moskovskogo Universiteta. Ser. 1 Matematika Mekhanika, 2004, (05): : 12 - 17
[13] GRADED ALGEBRAS ANTI-INVOLUTIONS SIMPLE GROUPS AND SYMMETRIC SPACES
WALL, CTC
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 74 (01) : 198 - &
[14] Classifying Algebras with Graded Involutions or Superinvolutions with Multiplicities of their Cocharacter Bounded by One
Fabrizio Martino
Algebras and Representation Theory, 2021, 24 : 317 - 326
[15] Involutions of the second kind for upper triangular matrix algebras
Urure, Ronald Ismael Quispe
Silva, Dalton Couto
COMMUNICATIONS IN ALGEBRA, 2023, 51 (06) : 2326 - 2333
[16] Classifying Algebras with Graded Involutions or Superinvolutions with Multiplicities of their Cocharacter Bounded by One
Martino, Fabrizio
ALGEBRAS AND REPRESENTATION THEORY, 2021, 24 (02) : 317 - 326
[17] GRADED IDENTITIES OF MATRIX ALGEBRAS AND THE UNIVERSAL GRADED ALGEBRA
Aljadeff, Eli
Haile, Darrell
Natapov, Michael
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 362 (06) : 3125 - 3147
[18] Realization of graded matrix algebras as Leavitt path algebras
Vas, Lia
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2020, 61 (04): : 771 - 781
[19] Realization of graded matrix algebras as Leavitt path algebras
Lia Vaš
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2020, 61 : 771 - 781
[20] Images of graded polynomials on matrix algebras
Centrone, Lucio
de Mello, Thiago Castilho
JOURNAL OF ALGEBRA, 2023, 614 : 650 - 669

← 1 2 3 4 5 →