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University of California-Davis Course Info

Davis, California

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MAT 261B

Lie groups and their representations

Lie groups and Lie algebras. Classification of semi-simple Lie groups. Classical and compact Lie groups. Representations of Lie groups and Lie algebras. Root systems, weights, Weil character formula. Kac-Moody and Virasoro algebras. Applications.

Units: 4.0

Hours: Lecture—3 hour(s); Term Paper/Discussion—1 hour(s).

Prerequisites:
MAT 250B - Algebra
and
MAT 250A - Algebra
and
MAT 240A - Differential Geometry
and
MAT 215A - Topology