Connected gradings and the fundamental group

被引：14

作者：

Cibils, Claude ^{[1
]}

Julia Redondo, Maria ^{[2
]}

Solotar, Andrea ^{[3
]}

机构：

[1] Univ Montpellier 2, Inst Math & Modelisat Montpellier I3M, UMR 5149, F-34095 Montpellier 5, France

[2] Univ Nacl Sur, Dept Matemat, RA-8000 Bahia Blanca, Buenos Aires, Argentina

[3] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Buenos Aires, DF, Argentina

来源：

ALGEBRA & NUMBER THEORY | 2010年 / 4卷 / 05期

关键词：

grading; Galois covering; fundamental group; FULL MATRIX-RINGS; ASSOCIATIVE ALGEBRAS;

D O I：

10.2140/ant.2010.4.625

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this paper is to provide explicit computations of the fundamental groups of several algebras. For this purpose, given a k-algebra A, we consider the category of all connected gradings of A by a group G and we study the relation between gradings and Galois coverings. This theoretical tool gives information about the fundamental group of A, which allows its computation using complete lists of gradings.

引用

页码：625 / 648

页数：24

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