Buildings (Record no. 38527)

MARC details
000 -LEADER
fixed length control field 03234n a2200385#a 4500
001 - CONTROL NUMBER
control field 5000106
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240416162754.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 110402s2008 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780387788357
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-0-387-78835-7
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number 978-0-387-78835-7
040 ## - CATALOGING SOURCE
Transcribing agency oclc
090 ## - IMPA CODE FOR CLASSIFICATION SHELVES
IMPA CODE FOR CLASSIFICATION SHELVES Matemáticas Gerais-(inclusive alguns textos elementares sobre assuntos específicos)
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Abramenko, Peter,
Dates associated with a name 1960-
9 (RLIN) 26542
245 10 - TITLE STATEMENT
Title Buildings
Medium [electronic resource]:
Remainder of title Theory and Applications/
Statement of responsibility, etc. by Peter Abramenko, Kenneth S. Brown.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New York:
Name of publisher, distributor, etc. Springer,
Date of publication, distribution, etc. 2008.
300 ## - PHYSICAL DESCRIPTION
Extent XXII, 754p. 100 illus.
Other physical details digital.
490 0# - SERIES STATEMENT
Series statement Graduate texts in mathematics,
International Standard Serial Number 0072-5285;
Volume/sequential designation 248
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- Introduction -- Finite Reflection Groups -- Coxeter Groups -- Coxeter Complexes -- Buildings as Chamber Complexes -- Buildings as W-Metric Spaces -- Buildings and Groups -- Root Groups and the Moufang Property -- Moufang Twin Buildings and RGD-Systems -- The Classification of Spherical Buildings -- Euclidean and Hyperbolic Reflection Groups -- Euclidean Buildings -- Buildings as Metric Spaces -- Applications to the Cohomology of Groups -- Other Applications -- Cell Complexes -- Root Systems -- Algebraic Groups .
520 ## - SUMMARY, ETC.
Summary, etc. This book treats Jacques Tits's beautiful theory of buildings, making that theory accessible to readers with minimal background. It includes all the material of the earlier book Buildings by the second-named author, published by Springer-Verlag in 1989, which gave an introduction to buildings from the classical (simplicial) point of view. This new book also includes two other approaches to buildings, which nicely complement the simplicial approach: On the one hand, buildings may be viewed as abstract sets of chambers with a Weyl-group-valued distance function; this point of view has become increasingly important in the theory and applications of buildings. On the other hand, buildings may be viewed as metric spaces. Beginners can still use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher. There are several paths through the book, so that readers may choose to concentrate on one particular approach. The pace is gentle in the elementary parts of the book, and the style is friendly throughout. All concepts are well motivated. There are thorough treatments of advanced topics such as the Moufang property, with arguments that are much more detailed than those that have previously appeared in the literature. This book is suitable as a textbook, with many exercises, and it may also be used for self-study .
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics.
9 (RLIN) 43458
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Geometry, Algebraic.
9 (RLIN) 43737
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Group theory.
9 (RLIN) 43436
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Topological groups.
9 (RLIN) 43823
697 ## - LOCAL SUBJECT
Local Subject Matemáticas Gerais-
Description subdivision (inclusive alguns textos elementares sobre assuntos específicos)
Linkage 23752
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Brown, Kenneth S.
9 (RLIN) 45164
710 1# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service).
9 (RLIN) 8857
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9780387788340
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Graduate texts in mathematics;
Volume/sequential designation 248
9 (RLIN) 43560
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-0-387-78835-7">http://dx.doi.org/10.1007/978-0-387-78835-7</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Instituto de Matemática Pura e Aplicada
Koha item type E-Book

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