Difference between revisions of "Math 674: Lie Groups and Algebras"

From MathWiki
Jump to: navigation, search
(Description)
(Minimal learning outcomes)
 
Line 23: Line 23:
  
 
=== Minimal learning outcomes ===
 
=== Minimal learning outcomes ===
Basic concepts of Lie Groups and algebras including root systems, algebraic groups, and representation theory.
+
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 10:28, 7 January 2015

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.