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: 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.
(6819 views)
Book cover: Frobenius Splittings and B-ModulesFrobenius Splittings and B-Modules
by - Springer
The course given by the author in 1992 explains the solution by O. Mathieu of some conjectures in the representation theory of arbitrary semisimple algebraic groups. The conjectures concern filtrations of 'standard' representations.
(5825 views)
Book cover: An Elementary Introduction to Group TheoryAn Elementary Introduction to Group Theory
by - AMS
The theory of groups is a branch of mathematics in which we study the concept of binaryoperations. Group theory has many applications in physics and chemistry, and is potentially applicable in any situation characterized by symmetry.
(1667 views)
Book cover: Congruence Lattices of Finite AlgebrasCongruence Lattices of Finite Algebras
by - arXiv
We review a number of methods for finding a finite algebra with a given congruence lattice, including searching for intervals in subgroup lattices. We also consider methods for proving that algebras with a given congruence lattice exist...
(5841 views)