In this thesis we study representation theory of Lie algebras in positive characteristic. We develop an algebraic formalism that produces reduced enveloping algebras. Restricting our attention to the case of a classical semisimple Lie algebra, we explicitly compute the reduced enveloping algebra at a regular functional. Finally, we introduce a geometric machinery producing representations.
Identifier / keyword
Pure sciences; Enveloping algebra; Lie algebras
Modular Lie algebras and their representations
DAI-B 59/10, Dissertation Abstracts International
Place of publication
Country of publication
University of Massachusetts Amherst
United States -- Massachusetts
Dissertations & Theses
ProQuest document ID
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