Group gradings on matrix algebras

被引：76

作者：

Bahturin, YA

Zaicev, MV

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St Johns, NF A1A 5K9, Canada

[2] Moscow MV Lomonosov State Univ, Fac Math & Mech, Dept Algebra, Moscow 119899, Russia

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2002年 / 45卷 / 04期

关键词：

D O I：

10.4153/CMB-2002-051-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Phi be an algebraically closed field of characteristic zero, G a finite, not necessarily abelian, group. Given a G-grading on the full matrix algebra A = M-n(Phi), we decompose A as the tensor product of graded subalgebras A = B circle times C, B congruent to M-p (Phi) being a graded division algebra, while the grading of C congruent to M-q(Phi) is determined by that of the vector space Phi". Now the grading of A is recovered from those of A and B using a canonical "induction" procedure.

引用

页码：499 / 508

页数：10

共 14 条

[1] Group gradings on associative algebras [J].