MARC details
000 -LEADER |
fixed length control field |
02732nam a22003257a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240522151058.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
240517b |||||||| |||| 00| 0 hin d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781470452315 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
NISER LIBRARY |
Language of cataloging |
eng |
Transcribing agency |
NISER LIBRARY |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.743 |
Item number |
BOR-I |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Borel, Armand |
245 10 - TITLE STATEMENT |
Title |
Introduction to arithmetic groups |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc. |
Rhode Island : |
Name of publisher, distributor, etc. |
American Mathematical Society, |
Date of publication, distribution, etc. |
2019. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xii, 118p. |
490 ## - SERIES STATEMENT |
Series statement |
University lecture series, |
Volume/sequential designation |
v. 73 |
International Standard Serial Number |
1047-3998 ; |
500 ## - GENERAL NOTE |
General note |
Originally published in French: Introduction aux groupes arithmétiques / Armand Borel (Paris : Hermann, 1969). |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references (pages 115-116) and index. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
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,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 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Linear algebraic groups. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Group theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Set theory. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Pham, Lam Laurent |
Relator term |
translator |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Morris, Dave Witte |
Relator term |
translator |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/ulect-73-toc.pdf?_gl=1*mamnlo*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNjM2MDUzNC42LjEuMTcxNjM2OTk0OS4wLjAuMA..">https://www.ams.org/bookstore/pspdf/ulect-73-toc.pdf?_gl=1*mamnlo*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNjM2MDUzNC42LjEuMTcxNjM2OTk0OS4wLjAuMA..</a> |
Materials specified |
Table of Contents |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Introduction |
Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/ulect-73-intro.pdf?_gl=1*khrfha*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNjM2MDUzNC42LjEuMTcxNjM3MDY1OC4wLjAuMA..">https://www.ams.org/bookstore/pspdf/ulect-73-intro.pdf?_gl=1*khrfha*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNjM2MDUzNC42LjEuMTcxNjM3MDY1OC4wLjAuMA..</a> |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Index |
Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/ulect-73-index.pdf?_gl=1*18e5pdu*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNjM2MDUzNC42LjEuMTcxNjM3MDYxMC4wLjAuMA..">https://www.ams.org/bookstore/pspdf/ulect-73-index.pdf?_gl=1*18e5pdu*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNjM2MDUzNC42LjEuMTcxNjM3MDYxMC4wLjAuMA..</a> |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Reviews |
Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/48932866-introduction-to-arithmetic-groups-university-lecture-university-lectu?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/48932866-introduction-to-arithmetic-groups-university-lecture-university-lectu?ref=nav_sb_ss_1_13#CommunityReviews</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Universal Decimal Classification |
Koha item type |
Book |