Galois coverings of weakly shod algebras

Details Galois coverings of weakly shod algebras Galois coverings of weakly shod algebras

2008-09-30

arxiv.org/abs/0809.5122v2

Communications in Algebra 38, 4 (2010) 1291--1318

Mathematics

Representation Theory

Some references were added. The proof of Lemma 6.5 was modified

Scientific paper

10.1080/00927870902897939

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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