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arxiv: 0808.1251 · v2 · submitted 2008-08-08 · 🧮 math.RT

Coverings of Laura Algebras: the Standard Case

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keywords coveringslaurastandardalgebraalgebrasconnectinggaloisassociated
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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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