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Geometric Representation Theory of Restricted Lie Algebras of Classical Type

Ivan Mirkovic·Dmitriy Rumynin
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Abstract

We modify the Hochschild $ϕ$-map to construct central extensions of a restricted Lie algebra. Such central extension gives rise to a group scheme which leads to a geometric construction of unrestricted representations. For a classical semisimple Lie algebra, we construct equivariant line bundles whose global sections afford representations with a nilpotent p-character.

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BibTeXRIS

Ivan Mirkovic, Dmitriy Rumynin. 1999-09-10. Geometric Representation Theory of Restricted Lie Algebras of Classical Type. https://arxiv.org/abs/math/9909058

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