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Modular Lie algebras and their representations
Abstract
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.
Subject Area
Mathematics
Recommended Citation
Rumynin, Dmitriy, "Modular Lie algebras and their representations" (1998). Doctoral Dissertations Available from Proquest. AAI9909214.
https://scholarworks.umass.edu/dissertations/AAI9909214