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