Lie groups and Lie algebras

9 Maio 2017, 17:00 Susana Duarte Santos

Smooth distributions. Integrable and involutive distributions. The local and global Frobenius theorems. The one-to-one correspondence between the connected Lie subgroups of a Lie group and the Lie subalgebras of its Lie algebra. Connection between normal connected Lie subgroups of a connected Lie group and ideals of its Lie algebra.