**Algebraic Groups, Lie Groups, and their Arithmetic Subgroups**

by J. S. Milne

2010**Number of pages**: 383

**Description**:

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.

Download or read it online for free here:

**Download link**

(3.4MB, PDF)

## Similar books

**Geometry and Group Theory**

by

**Christopher Pope**-

**Texas A&M University**

Lecture notes on Geometry and Group Theory. In this course, we develop the basic notions of Manifolds and Geometry, with applications in physics, and also we develop the basic notions of the theory of Lie Groups, and their applications in physics.

(

**12655**views)

**Symmetry Groups and Their Applications**

by

**Willard Miller**-

**Academic Press**

A beginning graduate level book on applied group theory. Only those aspects of group theory are treated which are useful in the physical sciences, but the mathematical apparatus underlying the applications is presented with a high degree of rigor.

(

**9369**views)

**Lectures on Topics In The Theory of Infinite Groups**

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.

(

**5084**views)

**Finite Rank Torsion Free Modules Over Dedekind Domains**

by

**E. Lee Lady**-

**University of Hawaii**

Contents: Modules Over Commutative Rings; Fundamentals; Rank-one Modules and Types; Quasi-Homomorphisms; The t-Socle and t-Radical; Butler Modules; Splitting Rings and Splitting Fields; Torsion Free Rings; Quotient Divisible Modules; etc.

(

**4997**views)