Coverings of Laura Algebras: the Standard Case

Details Coverings of Laura Algebras: the Standard Case Coverings of Laura Algebras: the Standard Case

2008-08-08

arxiv.org/abs/0808.1251v2

Journal of Algebra 323, 1 (2010) 83--120

Mathematics

Representation Theory

The main result on the non-standard case was reformulated due to an inaccuracy in the previous version. Lemma 6.1 was removed

Scientific paper

10.1016/j.jalgebra.2009.08.013

In this paper, we study the covering theory of laura algebras. We prove that if a connected laura algebra is standard (that is, it is not quasi-tilted of canonical type and its connecting components are standard), then this algebra has nice Galois coverings associated to the coverings of the connecting component. As a consequence, we show that the first Hochschild cohomology group of a standard laura algebra vanishes if and only if it has no proper Galois coverings.

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