Date of Award
8-1-2016
Degree Name
Master of Science
Department
Mathematics
First Advisor
Ban, Dubravka
Abstract
In this thesis, we construct Chevalley groups over arbitrary fields. The construction is based on the properties of semi-simple complex Lie algebras, the existence of Chevalley bases and notion of universal enveloping algebras. Using integral lattices in universal enveloping algebras and integral properties of Chevalley bases, we present a method which produces, for any complex simple Lie group, an analogous group over an arbitrary field.
Access
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