Date of Award
2005
Document Type
Project
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Advisor
Sarli, John
Second Advisor
Hasan, Zahid
Third Advisor
Ventura, Belisario
Abstract
Discusses certain one-parameter subgroups of the low-rank unitary groups called root subgroups. Unitary groups also have representations of Lie type which means they consist of transformations that act as automorphisms of an underlying Lie algebra, in this case the special linear algebra. Exploring this definition of the unitary groups, we find a correlation, via exponentiation, to the basis elements of Lie algebra.
Recommended Citation
Henes, Matthew Thomas, "Root subgroups of the rank two unitary groups" (2005). Theses Digitization Project. 2841.
https://scholarworks.lib.csusb.edu/etd-project/2841
