Graded polynomial Identities for matrices with the transpose involution over an infinite field

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, MG, Brazil
[2] Univ Fed Sao Paulo, Inst Ciencia & Tecnol, BR-12231280 Sao Jose Dos Campos, SP, Brazil
来源：
COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 04期
基金：
巴西圣保罗研究基金会;
关键词：
Algebras with involution; graded polynomial identities; identities with involution; matrix algebras; BLOCK-TRIANGULAR MATRICES; GROUP GRADINGS; ORDER-N; ALGEBRAS;
D O I：
10.1080/00927872.2017.1350701
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let F be an infinite field and let M-n (F) be the algebra of n x n matrices over F endowed with an elementary grading whose neutral component coincides with the main diagonal. In this paper, we find a basis for the graded polynomial identities of M-n (F) with the transpose involution. Our results generalize for infinite fields of arbitrary characteristic previous results in the literature, which were obtained for the field of complex numbers and for a particular class of elementary G-gradings.
引用
收藏
页码：1630 / 1640
页数：11
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