Geometric Representation Theory of Restricted Lie Algebras of Classical Type

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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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Representation Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/79086

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9909058
 http://arxiv.org/abs/math/9909058

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arXiv