Lie Theory.

Catalog description

The course gives a basic introduction to Lie algebras and their connections to Lie groups. Emphasis will be on examples given by matrices. Beyond an introduction to Lie algebras and groups, possible specific topics are: the classification and construction of simple Lie algebras; ADE classification; universal enveloping algebras; semi-simple Lie algebras and their representation theory; Lie group representations; subgroups and subalgebras; one-parameter subgroups; and the exponential map.