Lie groups, Lie algebras and their representations
Finite groups
Isaacs, Finite group theory
Ashbacher, Finite group theory
Gorenstein, Finite groups
Lie groups and Lie algebras
Kirillov, An introduction to Lie groups and Lie algebras
Godement, Introduction a la theorie des groupes de Lie
Hilgert and Neeb, Structure and geometry of Lie groups
Onishnik et al, Lie groups and Lie algebras
Sepanski, Compact Lie groups
Vinberg and Onishnik, Lie groups and algebraic groups
Serre, Complex semisimple Lie algebras
Humphreys, Introduction to Lie algebras and representation theory
Knapp, Lie groups beyond an introduction
Weyl, The classical groups: their invariants and representations
Brocker and Dieck, Representations of compact Lie groups
Fulton and Harris, Representation theory: a first course
Procesi, Lie groups: an approach through invariants and representations
Bourbaki, Lie groups and Lie algebras
A wider viewpoint on representation theory
Etingof et al, Introduction to representation theory