Abstract/Details

Modular Lie algebras and their representations


1998 1998

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Abstract (summary)

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.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences, Enveloping algebra, Lie algebras
Title
Modular Lie algebras and their representations
Author
Rumynin, Dmitriy
Number of pages
109
Publication year
1998
Degree date
1998
School code
0118
Source
DAI-B 59/10, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
0599073764, 9780599073760
Advisor
Mirkovic, Ivan
University/institution
University of Massachusetts Amherst
University location
United States -- Massachusetts
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9909214
ProQuest document ID
304446497
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304446497
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