Math 674: Lie Groups and Algebras
Lie Groups and Algebras
673, equivalent, or teacher approval.
Basic concepts of Lie Groups and algebras including root systems, algebraic groups, and representation theory. Other topics may be presented.
Desired Learning Outcomes
Math 673 or equivalent.
Minimal learning outcomes
Students will master the basic concepts of Lie Groups and algebras including root systems, algebraic groups, and representation theory. Possible applications to physics or to other areas of mathematics.
Possible textbooks for this course include (but are not limited to):
Humphreys, James E. Introduction to Lie algebras and representation theory. Second printing, revised. Graduate Texts in Mathematics, 9. Springer-Verlag, New York-Berlin, 1978.
Bump, Daniel Lie groups. Second edition. Graduate Texts in Mathematics, 225. Springer, New York, 2013. xiv+551
Any advanced topic in Algebra including Galois theory, Grobner bases, Representation theory, Invariant theory, etc.
Courses for which this course is prerequisite