Geometric representation theory of restricted Lie algebras | Zendy

Ivan Mirković | Zendy; Dmitriy Rumynin | Zendy

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Geometric representation theory of restricted Lie algebras

Author(s) -

Ivan Mirković,

Dmitriy Rumynin

Publication year - 2001

Publication title -

transformation groups

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.158

H-Index - 38

eISSN - 1531-586X

pISSN - 1083-4362

DOI - 10.1007/bf01597136

Subject(s) - mathematics , construct (python library) , equivariant map , extension (predicate logic) , representation theory , algebra over a field , pure mathematics , lie algebra , scheme (mathematics) , graded lie algebra , affine lie algebra , fundamental representation , lie conformal algebra , current algebra , computer science , weight , mathematical analysis , programming language

We modify the Hochschild φ-map to construct central extensions of a restricted Lie algebra. Such central extension gives rise to a goup scheme that 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 nilpotentp-character.

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