Date of Award
Master of Arts in Mathematics
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.
Henes, Matthew Thomas, "Root subgroups of the rank two unitary groups" (2005). Theses Digitization Project. 2841.