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• W3100994582 abstract "We investigate the Galois coverings of piecewise algebras and more particularly their behaviour under derived equivalences. Under a technical assumption which is satisfied if the algebra is derived equivalent to a hereditary algebra, we prove that there exists a universal Galois covering whose group of automorphisms is free and depends only on the derived category of the algebra. As a corollary, we prove that the algebra is simply connected if and only if its first Hochschild cohomology vanishes." @default.
• W3100994582 created "2020-11-23" @default.
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• W3100994582 date "2011-04-01" @default.
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• W3100994582 title "Topological invariants of piecewise hereditary algebras" @default.
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• W3100994582 doi "https://doi.org/10.1090/s0002-9947-2010-05185-2" @default.
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