Matthew Towers
Published 2010-07-23Version 1
We show that the ordinary cohomology functor from the category of augmented $k$-algebras to itself exchanges coproducts and products, and that Hochschild cohomology is close to sending coproducts to products if the factors are self-injective. We identify the multiplicative structure of the Hochschild cohomology of a product modulo a certain ideal in terms of the cohomology of the factors.
Poisson and Hochschild cohomology and the semiclassical limit
Hochschild cohomology of $U(\mathfrak{sl}_2(k))$
Hochschild cohomology of a smash product in the nonsemisimple case
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