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arXiv · 0809.5122

Galois coverings of weakly shod algebras

Patrick Le Meur
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Abstract

We investigate the Galois coverings of weakly shod algebras. For a weakly shod algebra not quasi-tilted of canonical type, we establish a correspondence between its Galois coverings and the Galois coverings of its connecting component. As a consequence, we show that a weakly shod algebra is simply connected if and only if its first Hochschild cohomology group vanishes.

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Patrick Le Meur. 2009-03-27. Galois coverings of weakly shod algebras. https://doi.org/10.1080/00927870902897939

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