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5 papers
Hochschild cohomology of
Matthew Towers
Let be an algebraically closed field of characteristic . We determine the Hochschild cohomology of and the invariants of and $…
Singular blocks of restricted sl3
Matthew Towers
We compute generators and relations for the basic algebra of a non-semisimple singular block of the restricted enveloping algebra of over an algebraically closed…
Poisson and Hochschild cohomology and the semiclassical limit
Matthew Towers
Let be a quantum algebra possessing a semiclassical limit . We show that under certain hypotheses can be thought of as a deformation of the Poisson enveloping algebra…
Cohomology of products and coproducts of augmented algebras
Matthew Towers
We show that the ordinary cohomology functor from the category of augmented -algebras to itself exchanges coproducts and products, and that Hochschild cohomology is close to sen…
Rank Varieties for Hopf Algebras
Matthew Towers, Sarah Scherotzke
We construct rank varieties for the Drinfel'd double of the Taft algebra and for U_q(sl2). For the Drinfel'd double when n=2 this uses a result which identifies a family of subalge…