Date of Award
May 2013
Degree Type
Dissertation
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
Ian M. Musson
Committee Members
Ian M. Musson, Jeb Willenbring, Allen Bell, Yi Ming Zou, Fredric Ancel
Keywords
Enveloping Algebra, Lie Superalgebra, Orthosymplectic, Representation, Verma Module
Abstract
In his seminal 1977 paper [Kac77], V. G. Kac classified the finite dimensional simple Lie superalgebras over algebraically closed fields of characteristic zero. However, over thirty years later, the representation theory of these algebras is still not completely understood, nor is the structure of their enveloping algebras.
In this thesis, we consider a low-dimensional example, osp(3,2). We compute the composition factors and Jantzen filtrations of Verma modules over osp(3,2) in a variety of cases.
Recommended Citation
Masaros, America, "Category O Representations of the Lie Superalgebra osp(3,2)" (2013). Theses and Dissertations. 137.
https://dc.uwm.edu/etd/137