The introductory level will introduce students to basic ideas in Lie groups and Lie algebras, which are useful for application within Lie theory and in other parts of mathematics, such as algebra, geometry, topology, and number theory.
None required, but we will use the chapters from Lee's "Smooth Manifolds" and some material from Brocker tom Dieck's GTM "Representations of Compact Lie Groups"
Undergraduate topology and analysis