000			02732nam a22003257a 4500
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020			_a9781470452315
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082	0	0	_a512.743 _bBOR-I
100	1		_aBorel, Armand
245	1	0	_aIntroduction to arithmetic groups
260			_aRhode Island : _bAmerican Mathematical Society, _c2019.
300			_axii, 118p.
490			_aUniversity lecture series, _vv. 73 _x1047-3998 ;
500			_aOriginally published in French: Introduction aux groupes arithmétiques / Armand Borel (Paris : Hermann, 1969).
504			_aIncludes bibliographical references (pages 115-116) and index.
520			_aThis 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,Z) and certain of its subgroups. Among the major results discussed in the later chapters are the Mostow Rigidity Theorem, the Margulis Superrigidity Theorem, Ratner's Theorems, and the classification of arithmetic subgroups of classical groups. As background for the proofs of these theorems, the book provides primers on lattice subgroups, arithmetic groups, real rank and Q-rank, ergodic theory, unitary representations, amenability, Kazhdan's property (T), and quasi-isometries. Numerous exercises enhance the book's usefulness both as a textbook for a second-year graduate course and for self-study. In addition, notes at the end of each chapter have suggestions for further reading. (Proofs in this book often consider only an illuminating special case.) Readers are expected to have some acquaintance with Lie groups, but appendices briefly review the prerequisite background
650		0	_aLinear algebraic groups.
650		0	_aGroup theory.
650		0	_aSet theory.
700	1		_aPham, Lam Laurent _etranslator
700	1		_aMorris, Dave Witte _etranslator
856			_uhttps://www.ams.org/bookstore/pspdf/ulect-73-toc.pdf?_gl=1*mamnlo*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNjM2MDUzNC42LjEuMTcxNjM2OTk0OS4wLjAuMA.. _3Table of Contents
856			_3Introduction _uhttps://www.ams.org/bookstore/pspdf/ulect-73-intro.pdf?_gl=1*khrfha*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNjM2MDUzNC42LjEuMTcxNjM3MDY1OC4wLjAuMA..
856			_3Index _uhttps://www.ams.org/bookstore/pspdf/ulect-73-index.pdf?_gl=1*18e5pdu*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNjM2MDUzNC42LjEuMTcxNjM3MDYxMC4wLjAuMA..
856			_3Reviews _uhttps://www.goodreads.com/book/show/48932866-introduction-to-arithmetic-groups-university-lecture-university-lectu?ref=nav_sb_ss_1_13#CommunityReviews
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