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arXiv · 0808.1251

Coverings of Laura Algebras: the Standard Case

Ibrahim Assem·Juan Carlos Bustamante·Patrick Le Meur
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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.

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BibTeXRIS

Ibrahim Assem, Juan Carlos Bustamante, Patrick Le Meur. 2009-11-01. Coverings of Laura Algebras: the Standard Case. https://doi.org/10.1016/j.jalgebra.2009.08.013

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