Modular Lie algebras and their representations

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...

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Main Author:	Rumynin, Dmitriy
Language:	ENG
Published:	ScholarWorks@UMass Amherst 1998
Subjects:	Mathematics
Online Access:	https://scholarworks.umass.edu/dissertations/AAI9909214

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spelling	ndltd-UMASS-oai-scholarworks.umass.edu-dissertations-31252020-12-02T14:34:37Z Modular Lie algebras and their representations Rumynin, Dmitriy 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. 1998-01-01T08:00:00Z text https://scholarworks.umass.edu/dissertations/AAI9909214 Doctoral Dissertations Available from Proquest ENG ScholarWorks@UMass Amherst Mathematics
collection	NDLTD
language	ENG
sources	NDLTD
topic	Mathematics
spellingShingle	Mathematics Rumynin, Dmitriy Modular Lie algebras and their representations
description	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.
author	Rumynin, Dmitriy
author_facet	Rumynin, Dmitriy
author_sort	Rumynin, Dmitriy
title	Modular Lie algebras and their representations
title_short	Modular Lie algebras and their representations
title_full	Modular Lie algebras and their representations
title_fullStr	Modular Lie algebras and their representations
title_full_unstemmed	Modular Lie algebras and their representations
title_sort	modular lie algebras and their representations
publisher	ScholarWorks@UMass Amherst
publishDate	1998
url	https://scholarworks.umass.edu/dissertations/AAI9909214
work_keys_str_mv	AT rumynindmitriy modularliealgebrasandtheirrepresentations
_version_	1719364733544431616

Modular Lie algebras and their representations

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