Course Description
Definition of Lie algebras and examples. Nilpotent, solvable and semisimple Lie algebras. Engel's theorem, Lie's Theorem, Killing form and Cartan's criterion. Weyl's theorem on complete reducibility. Representations of s1(2,C). Root space decomposition of semisimple Lie algebras. Root system and Weyl group.
Spring 2026
Instructors
Meeting Patterns
Classes Start:
January 12, 2026
Classes End:
April 28, 2026
Location:
01218 SAS Hall
Class Days:
T H
Class Start Time:
8:30am
Class End Time:
9:45am
Class Type:
Lecture
Credits:
3.00
Restrictions:
Prerequisite: MA 520