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
![Book cover: Galois Groups and Fundamental Groups](images/5964.jpg)
by David Meredith - 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.
(11507 views)
![Book cover: Groups as Graphs](images/4093.jpg)
by W. B. V. Kandasamy, F. Smarandache - CuArt
In this book, for the first time, the authors represented every finite group in the form of a graph. This study is significant because properties of groups can be immediately obtained by looking at the graphs of the groups.
(13054 views)
![Book cover: Smarandache Semigroups](images/4301.jpg)
by W. B. Vasantha Kandasamy - American Research Press
The Smarandache semigroups exhibit properties of both a group and a semigroup simultaneously. This book assumes the reader to have a good background on group theory; we give some recollection about groups and some of its properties for reference.
(10812 views)
![Book cover: Group theory for Maths, Physics and Chemistry](images/3464.jpg)
by Arjeh Cohen, Rosane Ushirobira, Jan Draisma
Symmetry plays an important role in chemistry and physics. Group captures the symmetry in a very efficient manner. We focus on abstract group theory, deal with representations of groups, and deal with some applications in chemistry and physics.
(14616 views)