MATH 522

Fall 2013 All Classes

All Classes

Lie Groups and Lie Algebras I

Credit: 4 hours.

A general introduction to Lie groups and algebras and their representation theory. Theory of finite group representations, Lie groups as matrix groups, and as differentiable manifolds, Lie algebras as tangent spaces and as abstract objects, and their representations. Examples of the classical groups.

May be repeated up to 8 hours. Prerequisite: Undergraduate linear algebra, abstract algebra, point set topology, differentiation on manifolds.

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MATH 522 class schedule data for fall 2013
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	39210	Lecture-Discussion	M1	9:30AM -10:50AM	TR	Henry Administration Bldg	Athreya, J	Part of Term: 1 Date Range: 08/26/13-12/11/13 Section Info: Undergraduate students may register with approval. For more information go to room 313 AH. Students from the following programs must contact the Director of Graduate Studies in Mathematics <Laugesen@illinois.edu> to request permission to register for the course: MS:Economics:Policy Econ -UIUC, MS:Statistics -UIUC, MS:Statistics -- Applied -UIUC, MS: Statistics: Analytics, or MS: Financial Engineering. Restriction(s): Restricted to Graduate - Urbana-Champaign. Not intended for MS: Finance Cost Rec -UIUC, MS:Economics:Policy Econ -UIUC, MS:Statistics -UIUC, MS:Statistics -- Applied -UIUC, MS: Statistics: Analytics, or MS: Financial Engineering.