Abstract
Consider a field of characteristic , the -th Frobenius kernel of a smooth algebraic group , the Drinfeld double of , and a finite dimensional -module . We prove that the cohomology algebra is finitely generated and that is a finitely generated module over this cohomology algebra. We exhibit a finite map of algebras , which offers an approach to support varieties for -modules. For many examples of interest, is injective and induces an isomorphism of associated reduced schemes. For an irreducible -module, enables us to identify the support variety of in terms of the support variety of viewed as a -module.
Citation
Eric M. Friedlander. Cris Negron. "Cohomology for Drinfeld doubles of some infinitesimal group schemes." Algebra Number Theory 12 (5) 1281 - 1309, 2018. https://doi.org/10.2140/ant.2018.12.1281
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