Difference between revisions of "Math 674: Lie Groups and Algebras"
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=== Minimal learning outcomes === | === Minimal learning outcomes === | ||
Basic concepts of Lie Groups and algebras including root systems, algebraic groups, and representation theory. | 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. | ||
=== Textbooks === | === Textbooks === | ||
Revision as of 15:22, 29 October 2014
Contents
Catalog Information
Title
Lie Groups and Algebras
Credit Hours
3
Offered
Upon request.
Prerequisite
673, equivalent, or teacher approval.
Description
Basic concepts of Lie Groups and algebras including root systems, algebraic groups, and representation theory.
Desired Learning Outcomes
Prerequisites
Math 673 or equivalent.
Minimal learning outcomes
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.
Textbooks
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
Additional topics
Any advanced topic in Algebra including Galois theory, Grobner bases, Representation theory, Invariant theory, etc.
Courses for which this course is prerequisite
None.
