We prove that for any representation-finite algebra A (in fact, finite locally bounded k-category), the universal covering F: Ã → A is either a Galois covering or an almost Galois covering of integral type, and F admits a degeneration to the standard Galois covering F̅: Ã→ Ã/G, where is the fundamental group of . It is shown that the class of almost Galois coverings F: R → R’ of integral type, containing the series of examples from our earlier paper [Bol. Soc. Mat. Mexicana 17 (2011)], behaves much more regularly than usual with respect to the standard properties of the pair of adjoint functors associated to F.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-2-8,
author = {Piotr Dowbor and Adam Hajduk},
title = {Two classes of almost Galois coverings for algebras},
journal = {Colloquium Mathematicae},
volume = {126},
year = {2012},
pages = {253-298},
zbl = {1283.16016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-2-8}
}
Piotr Dowbor; Adam Hajduk. Two classes of almost Galois coverings for algebras. Colloquium Mathematicae, Tome 126 (2012) pp. 253-298. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-2-8/