Geometric Representation Theory of Restricted Lie Algebras of Classical Type

Details Geometric Representation Theory of Restricted Lie Algebras of Classical Type Geometric Representation Theory of Restricted Lie Algebras of Classical Type

1999-09-10

arxiv.org/abs/math/9909058v1

Mathematics

Representation Theory

Scientific paper

We modify the Hochschild $\phi$-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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