Degree-inverting involutions on matrix algebras

被引：5

作者：

Goncalves Fonseca, Luis Felipe ^{[1
]}

de Mello, Thiago Castilho ^{[2
]}

机构：

[1] Univ Fed Vicosa, Inst Ciencias Exatas & Tecnol, Florestal, Brazil

[2] Univ Fed Sao Paulo, Inst Ciencia & Tecnol, Sao Jose Dos Campos, Brazil

来源：

LINEAR & MULTILINEAR ALGEBRA | 2018年 / 66卷 / 06期

基金：

巴西圣保罗研究基金会;

关键词：

Matrix algebras; involutions; graded algebras; upper-triangular matrices; GROUP GRADINGS;

D O I：

10.1080/03081087.2017.1337060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be an algebraically closed field of characteristic zero, and G be a finite abelian group. If A = circle times(g is an element of G)A(g) is a G-graded algebra, we study degree-inverting involutions on A, i.e. involutions * on A satisfying (A(g))* subset of A(g-1), for all g is an element of G. We describe such involutions for the full nxn matrix

引用

页码：1104 / 1120

页数：17

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