Lina Bassi: Lie groups and Lie algebras. Diplom thesis, Ferrara 1992. Original title: Gruppi di Lie e algebre di Lie.

LIE ALGEBRAS Lie algebras Examples Representations of a Lie algebra Extension of the ground field Solvable and nilpotent Lie algebras Semicommutative sets Engel's theorem Fitting's lemma The torsion module of a module over a principal ideal domain Primary decomposition of a linear operator LIE GROUPS Differentiable varieties The tangent space Topological groups Homomorphic images of topological groups Connection in topological groups Lie groups Vector fields and integral curves The Lie algebra of a Lie group The adjoint representation Lie algebras of classical groups REFERENCES