Abstract
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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Mirković, I., Rumynin, D. Geometric representation theory of restricted Lie algebras. Transformation Groups 6, 175–191 (2001). https://doi.org/10.1007/BF01597136
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DOI: https://doi.org/10.1007/BF01597136