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: Groups and Semigroups: Connections and ContrastsGroups and Semigroups: Connections and Contrasts
by - University of Nebraska-Lincoln
In the present paper, I will discuss some of these connections between group theory and semigroup theory, and I will also discuss some rather surprising contrasts between the theories. I will focus primarily on the theory of inverse semigroups.
(5200 views)
Book cover: Notes on Categories and GroupoidsNotes on Categories and Groupoids
by - Van Nostrand Reinhold
A self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment is by no means systematic.
(10307 views)
Book cover: Theory of Groups of Finite OrderTheory of Groups of Finite Order
by - Cambridge University Press
After introducing permutation notation and defining group, the author discusses the simpler properties of group that are independent of their modes of representation; composition-series of groups; isomorphism of a group with itself; etc.
(6006 views)
Book cover: Introduction to Arithmetic GroupsIntroduction to Arithmetic Groups
by - arXiv
This revised version of a book in progress on arithmetic groups and locally symmetric spaces contains several additional chapters, including the proofs of three major theorems of G. A. Margulis (superrigidity, arithmeticity, and normal subgroups).
(6541 views)