Lie groups and Lie algebras

11 Abril 2017, 17:00 • Susana Duarte Santos

Induced Lie algebra homomorphism from a Lie group homomorphism. Consequences. Representations and faithful representations of a Lie group. Examples. Semidirect products of Lie groups. Affine and Euclidean groups. The adjoint representation of a Lie group. Relationship between the adjoint representation of a Lie group and the adjoint representation of its Lie algebra.