Hopf线性范畴的基本群
环与代数
2018-06-12 v2
摘要
我们定义域上Hopf代数的基本群。为此，我们首先考虑Hopf代数的分级与伽罗瓦覆盖。后者由具有新的附加结构的线性范畴给出，我们称之为有限群上的Hopf线性范畴。我们将该不变量与底层线性范畴的基本群进行比较，并计算了若干例子族中的这些群。
引用
@article{arxiv.1503.07343,
title = {The fundamental group of a Hopf linear category},
author = {Claude Cibils and Andrea Solotar},
journal= {arXiv preprint arXiv:1503.07343},
year = {2018}
}
备注
Computations of the fundamental group of some Hopf algebras are added. The relation with the fundamental group of the underlying associative structure is now considered. We also analyse the situation when universal covers and/or gradings exist. Dedicated to Eduardo N. Marcos for his 60th birthday. 24 pages