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