Difference between revisions of "Math 674: Lie Groups and Algebras"
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=== Description === | === Description === | ||
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. | ||
+ | Other topics may be presented. | ||
== Desired Learning Outcomes == | == Desired Learning Outcomes == | ||
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=== Minimal learning outcomes === | === 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 applications to physics or to other areas of mathematics. | ||
Latest revision as of 11:28, 7 January 2015
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. Other topics may be presented.
Desired Learning Outcomes
Prerequisites
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.
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.