Lie Groups

1 Course Unit

Connection of Lie groups with Lie algebras, Lie subgroups, exponential map. Algebraic Lie groups, compact and complex Lie groups, solvable and nilpotent groups. Other topics may include relations with symplectic geometry, the orbit method, moment map, symplectic reduction, geometric quantization, Poisson-Lie and quantum groups. Not Offered Every Year Prerequisite: MATH 6000 AND MATH 6010 AND MATH 6020 AND MATH 6030 1 Course Unit