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MATH 522 X1 - Lie Groups and Lie Algebras I

Campus: Urbana-Champaign

Description:

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

Special Instructions:

Students from the following programs must contact the Director of Graduate Studies in Mathematics to request permission to register for the course: MS:Economics:Policy Econ -UIUC or MS: Financial Engineering.

Academic Program Restrictions:

MS:Economics:Policy Econ -UIUC

Option 1

Number of Required Visit(s): 0

Course Level: Graduate

Credit: 4

Term(s): Spring


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