History. Examples. Definitions. **** not written yet **
Getting the Lie algebra from the group.
The exponential map: from the algebra back to the group.
Lecture 3 A
Loose end: the bracket in the matrix case
Functorial equivalence. Simply connected Lie groups.
The three adjoint actions.
Differential of the exponential map ( 1/19 and 1/24)..
Characterizing connected Abelian Lie groups ( 1/19)..
universal covers. fundamental group. ( Andrew Marshall speaks )..
Characterizing simply connected Nilpotent Lie groups ( 1/31 ?)..
universal cover of a Lie group is Lie
Exponentiating algebra homomorphisms to the group; subalgebra-subgroup theorem. ( 1/31 ?)..
`Chapter 2': goal : get to Cartan's classification of compact Lie groups.
Lecture 11 + N
the dual perspective. preparation for Koiller's lecture of Feb 23
G2 and rolling
a ROUGH draft of a paper w Gil Bor
Geometry on Lie Groups; Maximal Torus proof.
last TeXed lecture