Logo

Algebraic Groups, Lie Groups, and their Arithmetic Subgroups

Small book cover: Algebraic Groups, Lie Groups, and their Arithmetic Subgroups

Algebraic Groups, Lie Groups, and their Arithmetic Subgroups
by


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.

Home page url

Download or read it online for free here:
Download link
(3.4MB, PDF)

Similar books

Book cover: Geometry and Group TheoryGeometry and Group Theory
by - 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.
(20781 views)
Book cover: Groups Around UsGroups Around Us
by - Massachusetts Institute of Technology
These are notes of a mini-course of group theory for high school students. This course covers the most basic parts of group theory with many applications. The notes contain many exercises, which are necessary for understanding the main text.
(5134 views)
Book cover: Galois Groups and Fundamental GroupsGalois Groups and Fundamental Groups
by - San Francisco State University
This course brings together two areas of mathematics that each concern symmetry -- symmetry in algebra, in the case of Galois theory; and symmetry in geometry, in the case of fundamental groups. Prerequisites are courses in algebra and analysis.
(11800 views)
Book cover: Group Theory: Birdtracks, Lie's, and Exceptional GroupsGroup Theory: Birdtracks, Lie's, and Exceptional Groups
by - Princeton University Press
A book on the theory of Lie groups for researchers and graduate students in theoretical physics and mathematics. It answers what Lie groups preserve trilinear, quadrilinear, and higher order invariants. Written in a lively and personable style.
(16431 views)