Chaoters 4-8 Flashcards
1
Q
Define a linear Lie group
A
A closed subgroup of GLn is called a linear Lie group
2
Q
Natural identification of TpV and V
A
3
Q
Define a Lie subalgebra
A
4
Q
Lemma: the tangent vectors to curves get mapped by the differential
A
5
Q
Define a Lie algebra homomorphism
A
6
Q
Lie’s second theorem
A
7
Q
Lie’s third theorem
A
8
Q
Define a representation of a Lie group
A
9
Q
Define a derivation on a Lie algebra
A
10
Q
Properties of the exponential map
A
11
Q
Log formula
A
