Mathematics

MATH225B Infinite Dimensional Lie Algebras

Finite dimensional semi-simple Lie algebras: PBW theorem, generators and relations, highest weight representations, Weyl character formula. Infinite dimensional Lie algebras: Heisenberg algebras, Virasoro algebras, loop algebras, affine Kac-Moody algebras, vertex operator representations.

Requirements

Prerequisite(s): MATH 225A. Enrollment is restricted to graduate students.

Credits

5