Introduction to Arithmetic Groups

Introduction to Arithmetic Groups

Fifty years after it made the transition from mimeographed lecture notes to a published book, Armand Borel's Introduction aux groupes arithmétiques continues to be very important for the theory of arithmetic groups. In particular, Chapter III of the book remains the standard reference for fundamental results on reduction theory, which is crucial in the study of discrete subgroups of Lie groups and the corresponding homogeneous spaces. The review of the original French version in Mathematical Reviews observes that “the style is concise and the proofs (in later sections) are often demanding of the reader.” To make the translation more approachable, numerous footnotes provide helpful comments.

Download Now


Author
Publisher American Mathematical Soc.
Release Date
ISBN 1470452316
Pages 118 pages
Rating 4.5/5 (15 users)

More Books:

Introduction to Arithmetic Groups
Language: en
Pages: 118
Authors: Armand Borel
Categories: Education
Type: BOOK - Published: 2019-11-07 - Publisher: American Mathematical Soc.

GET EBOOK

Fifty years after it made the transition from mimeographed lecture notes to a published book, Armand Borel's Introduction aux groupes arithmétiques continues t
Introduction to Arithmetic Groups
Language: en
Pages: 475
Authors: Dave Witte Morris
Categories: Arithmetic groups
Type: BOOK - Published: 2015 - Publisher:

GET EBOOK

This book provides a gentle introduction to the study of arithmetic subgroups of semisimple Lie groups. This means that the goal is to understand the group SL(n
Frontiers in Number Theory, Physics, and Geometry II
Language: en
Pages: 789
Authors: Pierre E. Cartier
Categories: Mathematics
Type: BOOK - Published: 2007-07-18 - Publisher: Springer Science & Business Media

GET EBOOK

Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of numb
Arithmetic Groups and Their Generalizations
Language: en
Pages: 259
Authors: Lizhen Ji
Categories: Mathematics
Type: BOOK - Published: 2009-04-20 - Publisher: American Mathematical Soc.

GET EBOOK

In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\textrm{SL}(n,\mathbf{Z})$. Yet, many applica
Cohomology of Arithmetic Groups and Automorphic Forms
Language: en
Pages: 362
Authors: Jean-Pierre Labesse
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

GET EBOOK

Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varietie
Mathematical Software -- ICMS 2014
Language: en
Pages: 735
Authors: Hoon Hong
Categories: Computers
Type: BOOK - Published: 2014-08-01 - Publisher: Springer

GET EBOOK

This book constitutes the proceedings of the 4th International Conference on Mathematical Software, ICMS 2014, held in Seoul, South Korea, in August 2014. The 1
Finite Presentability of S-Arithmetic Groups. Compact Presentability of Solvable Groups
Language: en
Pages: 182
Authors: Herbert Abels
Categories: Mathematics
Type: BOOK - Published: 2006-11-15 - Publisher: Springer

GET EBOOK

The problem of determining which S-arithmetic groups have a finite presentation is solved for arbitrary linear algebraic groups over finite extension fields of
Handbook of Teichmüller Theory
Language: en
Pages: 876
Authors: Athanase Papadopoulos
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: European Mathematical Society

GET EBOOK

The subject of this handbook is Teichmuller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces. This includes
Geometry, Rigidity, and Group Actions
Language: en
Pages: 659
Authors: Robert J Zimmer
Categories: Mathematics
Type: BOOK - Published: 2011-04-15 - Publisher: University of Chicago Press

GET EBOOK

The study of group actions is more than 100 years old but remains a widely studied topic in a variety of mathematic fields. A central development in the last 50
Encyclopaedia of Mathematics
Language: en
Pages: 488
Authors: Michiel Hazewinkel
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathema tics. It is a translation with updates and editorial comments of the Sovi