Algebraic Groups, Lie Groups, and their Arithmetic Subgroups
by J. S. Milne
Number of pages: 383
This work is a modern exposition of the theory of algebraic group schemes, Lie groups, and their arithmetic subgroups. Algebraic groups are groups defined by polynomials. Those that we shall be concerned with in this book can all be realized as groups of matrices.
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by Patrick Dehornoy, at al.
This book is an account of several quite different approaches to Artin's braid groups, involving self-distributive algebra, uniform finite trees, combinatorial group theory, mapping class groups, laminations, and hyperbolic geometry.
by Alexander Kirillov, Jr. - SUNY at Stony Brook
The book covers the basic contemporary theory of Lie groups and Lie algebras. This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style.
by B.H. Neumann - Tata Institute of Fundamental Research
As the title suggests, the aim was not a systematic treatment of infinite groups. Instead the author tried to present some of the methods and results that are new and look promising, and that have not yet found their way into the books.
by N. Reshetikhin, V. Serganova, R. Borcherds - UC Berkeley
From the table of contents: Tangent Lie algebras to Lie groups; Simply Connected Lie Groups; Hopf Algebras; PBW Theorem and Deformations; Lie algebra cohomology; Engel's Theorem and Lie's Theorem; Cartan Criterion, Whitehead and Weyl Theorems; etc.