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math.RT2002★ 135 cited
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…
math.RT2001
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…
math.RT1999
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…