Introduction to Lie Groups
is to serve as an introduction to the theory of Lie groups (this
probably was not realy informative...). The fundamental aim of the
class is to get some familiarity with Lie groups, Lie algebras, their
relations (and how far the relations go), and linear groups. This
should cover about 3/5 of the course. For the rest I am thinking of
doing representation theory of complact Lie groups (and some more
advanced structure theory, maybe) but all this can be changed depending
on the interest of the class.
are very many books for Lie groups, most of which are plenty for this
course. I will be mainly following the following books
- Lie Groups, Bump D. (Watch out for typos!)
- Foundations of Differentiable Manifolds and Lie Groups, Warner F. W.
Office Hours: By email (altug at mit)...
TA:Pablo Boixeda Alvarez (pboixeda at mit)
be by weekly homework sets. I will assign homework on Fridays and will
expect them to be back by the following Friday before class (you can
email me the homework or hand in the paper copy right before the
class). For undergraduates I may also assign a short presentation of
their favorite Lie groups related topic (within reason...), but that is