UNSPECIFIED (2001) Geometric representation theory of restricted lie algebras. TRANSFORMATION GROUPS, 6 (2). pp. 175-191. ISSN 1083-4362

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Abstract

We modify the Hochschild phi -map to construct central extensions of a restricted Lie algebra. Such central extension gives rise to a group 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 nilpotent p-character.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	TRANSFORMATION GROUPS
Publisher:	BIRKHAUSER BOSTON INC
ISSN:	1083-4362
Date:	June 2001
Volume:	6
Number:	2
Number of Pages:	17
Page Range:	pp. 175-191
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/11960

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