Sumários
Lie groups and Lie algebras
11 Abril 2017, 18:30 • Susana Duarte Santos
Examples related to the theory already developed. Resolution of exercise 15 of the second chapter
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.
Lie groups and Lie algebras
5 Abril 2017, 14:00 • Susana Duarte Santos
Left-invariant vector fields of a Lie group. Results. The Lie algebra of a Lie group. Examples.
Lie groups and Lie algebras
4 Abril 2017, 18:30 • Susana Duarte Santos
Examples related to the theory already developed.