LECTURE NOTES
Lecture 1
History. Examples. Definitions. **** not written yet **
Lecture 2
Getting the Lie algebra from the group.
Lecture 3
The exponential map: from the algebra back to the group.
Lecture 3 A
Loose end: the bracket in the matrix case
Lecture 4
Functorial equivalence. Simply connected Lie groups.
Lecture 5
The three adjoint actions.
Lecture 6
Differential of the exponential map ( 1/19 and 1/24)..
Lecture 6A
Characterizing connected Abelian Lie groups ( 1/19)..
Lecture 7
universal covers. fundamental group. ( Andrew Marshall speaks )..
Lecture 8?
Characterizing simply connected Nilpotent Lie groups ( 1/31 ?)..
Lecture 9
universal cover of a Lie group is Lie
Lecture 9A
Exponentiating algebra homomorphisms to the group; subalgebra-subgroup theorem. ( 1/31 ?)..
Lecture 11
`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