MATH 522

Spring 2021 Part of Term 1

Part of Term 1
Jan 25-May 5

Lie Groups and Lie Algebras I

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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 spring 2021
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	48963	Online	X1	9:30AM -10:50AM	TR	n.a.	Haboush, W	Part of Term: 1 Date Range: 01/25/21-05/05/21 Section Info: 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 or MS: Financial Engineering. Restriction(s): Not intended for Undergrad - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC or MS: Financial Engineering.