Lie groups and Lie algebras by N. Reshetikhin, V. Serganova, R. Borcherds
Publisher: UC Berkeley 2007
Number of pages: 199
From the table of contents: Tangent Lie algebras to Lie groups; Simply Connected Lie Groups; Hopf Algebras; The PBW Theorem and Deformations; Lie algebra cohomology; Engel's Theorem and Lie's Theorem; Cartan Criterion, Whitehead and Weyl Theorems; etc.
Mathematics Abstract Algebra Group Theory Geometry & Topology Differential Geometry Lie Groups