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- W2043878275 abstract "Let A be a finite dimensional, basic algebra over an algebraically closed field k . We compare the Hochschild cohomology group H i ( A ) = H i ( A , A ) with the simplicial cohomology groups SH i ( A , Z ) defined in [6] for any abelian group Z . We show that SH 1 ( A , k + ) is always a subspace of H 1 ( A ) and in case A is schurian SH i ( A , k + ) is a subspace of H i ( A ) for i ≥ 1. We show several consequences of these results." @default.
- W2043878275 created "2016-06-24" @default.
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- W2043878275 date "1999-05-01" @default.
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- W2043878275 title "Comparing the simplicial and the hochschild cohomologies of a finite dimensional algebra" @default.
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- W2043878275 doi "https://doi.org/10.1016/s0022-4049(97)00205-3" @default.
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