Root subgroups of the rank two unitary groups

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...

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Main Author:	Henes, Matthew Thomas
Format:	Others
Published:	CSUSB ScholarWorks 2005
Subjects:	Linear algebraic groups Unitary groups Lie groups Unitary groups. Mathematics
Online Access:	https://scholarworks.lib.csusb.edu/etd-project/2841 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=3858&context=etd-project

id	ndltd-csusb.edu-oai-scholarworks.lib.csusb.edu-etd-project-3858
record_format	oai_dc
spelling	ndltd-csusb.edu-oai-scholarworks.lib.csusb.edu-etd-project-38582019-10-23T03:33:58Z Root subgroups of the rank two unitary groups Henes, Matthew Thomas 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. 2005-01-01T08:00:00Z text application/pdf https://scholarworks.lib.csusb.edu/etd-project/2841 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=3858&context=etd-project Theses Digitization Project CSUSB ScholarWorks Linear algebraic groups Unitary groups Lie groups Lie groups Linear algebraic groups Unitary groups. Mathematics
collection	NDLTD
format	Others
sources	NDLTD
topic	Linear algebraic groups Unitary groups Lie groups Lie groups Linear algebraic groups Unitary groups. Mathematics
spellingShingle	Linear algebraic groups Unitary groups Lie groups Lie groups Linear algebraic groups Unitary groups. Mathematics Henes, Matthew Thomas Root subgroups of the rank two unitary groups
description	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.
author	Henes, Matthew Thomas
author_facet	Henes, Matthew Thomas
author_sort	Henes, Matthew Thomas
title	Root subgroups of the rank two unitary groups
title_short	Root subgroups of the rank two unitary groups
title_full	Root subgroups of the rank two unitary groups
title_fullStr	Root subgroups of the rank two unitary groups
title_full_unstemmed	Root subgroups of the rank two unitary groups
title_sort	root subgroups of the rank two unitary groups
publisher	CSUSB ScholarWorks
publishDate	2005
url	https://scholarworks.lib.csusb.edu/etd-project/2841 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=3858&context=etd-project
work_keys_str_mv	AT henesmatthewthomas rootsubgroupsoftheranktwounitarygroups
_version_	1719275424455852032

Root subgroups of the rank two unitary groups

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