# Support Theory for Extended Drinfeld Doubles

@inproceedings{Friedlander2021SupportTF, title={Support Theory for Extended Drinfeld Doubles}, author={Eric Friedlander}, year={2021} }

Following earlier work with Cris Negron on the cohomology of Drinfeld doubles D(G(r)), we develop a “geometric theory” of support varieties for “extended Drinfeld doubles” D̃(G(r)) of Frobenius kernels G(r) of smooth linear algebraic groups G over a field k of characteristic p > 0. To a D̃(G(r))module M we associate the space Π(D̃(G(r)))M of equivalence classes of “pairs of π-points” and prove most of the desired properties of M 7→ Π(D̃(G(r)))M . Namely, this association satisfies the “tensor…

## One Citation

Support theory for Drinfeld doubles of some infinitesimal group schemes

- Mathematics
- 2021

Consider a Frobenius kernel G in a split semisimple algebraic group, in very good characteristic. We provide an analysis of support for the Drinfeld center Z(rep(G)) of the representation category…

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