无双重旁路的代数的万有覆盖
表示论
2008-09-29 v4
摘要
设 A 是代数闭域 k（特征为零）上的一个基本的、有限维的且连通的代数。如果 A 的普通箭图没有双重旁路，我们证明 A 承认一个 Galois 覆盖，该覆盖关于 A 的 Galois 覆盖满足一个万有性质。这个万有性质类似于连通拓扑空间的万有覆盖的万有性质。
引用
@article{arxiv.math/0507513,
title = {The universal cover of an algebra without double bypass},
author = {Patrick Le Meur},
journal= {arXiv preprint arXiv:math/0507513},
year = {2008}
}
备注
This text (21 pages) gives detailed proofs of the results announced in a previous note of the author (The fundamental group of a triangular algebra without double bypasses) and extends the study of this previous note to the Galois coverings of an algebra