135 citations · 135 across the 1 of their papers we have counts for
4 papers
Localization of modules for a semisimple Lie algebra in prime characteristic
Roman Bezrukavnikov, Ivan Mirković, Dmitriy Rumynin
We observe that on the level of derived categories, representations of the Lie algebra of a semisimple algebraic group over a field of characteristic (where is the Coxet…
Subregular representations of $\sl_n$ and simple singularities of type
Iain Gordon, Dmitriy Rumynin
Alexander Premet has stated the following problem: what is a relation between subregular nilpotent representations of a classical semisimple restricted Lie algebra and non-commutat…
Twisted Crystalline Differential Operators
Ivan Mirkovic, Dmitriy Rumynin
This paper has been withdrawn by the authors.
Geometric Representation Theory of Restricted Lie Algebras of Classical Type
Ivan Mirkovic, Dmitriy Rumynin
We modify the Hochschild -map to construct central extensions of a restricted Lie algebra. Such central extension gives rise to a group scheme which leads to a geometric constru…