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group_theory:notions:compact_group

Compact Group

Compact matrix groups are bounded in two related ways: (1) The individual matrix elements cannot exceed some maximum value. (2) The volume of parameter space is finite.https://campusvirtual.univalle.edu.co/moodle/pluginfile.php/66702/mod_resource/content/0/Lie-Stetz-U-Oregon.pdf

The Peter-Weyl theorem:A real, connected, semi-simple Lie group G is compact if and only if its corresponding real Lie algebra is compact.https://campusvirtual.univalle.edu.co/moodle/pluginfile.php/66702/mod_resource/content/0/Lie-Stetz-U-Oregon.pdf

group_theory/notions/compact_group.txt · Last modified: 2017/12/06 09:33 (external edit)