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Coverings of Laura Algebras: the Standard Case (2010)

Abstract
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.

Publication details
Download HAL:http://hal.archives-ouvertes.fr/hal-00310452/en/, http://hal.archives-ouvertes.fr/docs/00/42/91/66/PDF/assem_bustamante_lemeur.pdf
Publisher HAL - CCSD
Repository CCSd/HAL : e-articles server (based on gBUS) (France)
Keywords [MATH:MATH_RT] Mathematics/Representation Theory, Representations of Algebras, Covering Theory, Galois coverings, Laura Algebras, Hochschild Cohomology, Simple Connectedness
Type text
Language English