Connected gradings and fundamental group
Rings and Algebras
2018-06-12 v4 Algebraic Topology
K-Theory and Homology
Quantum Algebra
Representation Theory
Abstract
The main purpose of this paper is to provide explicit computations of the fundamental group of several algebras. For this purpose, given a -algebra , we consider the category of all connected gradings of by a group and we study the relation between gradings and Galois coverings. This theoretical tool gives information about the fundamental group of , which allows its computation using complete lists of gradings.
Cite
@article{arxiv.0906.3069,
title = {Connected gradings and fundamental group},
author = {Claude Cibils and Maria Julia Redondo and Andrea Solotar},
journal= {arXiv preprint arXiv:0906.3069},
year = {2018}
}
Comments
Final version to appear in Algebra & Number Theory. 26 pages