Lie groups and Lie algebras

29 Março 2017, 14:00 • Susana Duarte Santos

Direct product of two Lie algebras. Quotient of a Lie algebra by a Lie ideal. Lie algebra homomorphisms. Examples. First isomorphism theorem. Examples. Representations of a Lie algebra and Ado's theorem. The adjoint representation of a Lie algebra. Derivations of an algebra. The inner derivations of a Lie algebra: properties. Structure constants.