000 -LEADER |
fixed length control field |
02250nam a22003255i 4500 |
001 - CONTROL NUMBER |
control field |
978-3-540-30593-4 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20161121230934.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
fixed length control field |
cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
100301s2005 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783540305934 |
-- |
978-3-540-30593-4 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/3-540-30593-9 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA174-183 |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBG |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT002010 |
Source |
bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.2 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Zieschang, Paul-Hermann. |
Relator term |
author. |
245 10 - TITLE STATEMENT |
Title |
Theory of Association Schemes |
Medium |
[electronic resource] / |
Statement of responsibility, etc. |
by Paul-Hermann Zieschang. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Berlin, Heidelberg : |
Name of producer, publisher, distributor, manufacturer |
Springer Berlin Heidelberg, |
Date of production, publication, distribution, manufacture, or copyright notice |
2005. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XVI, 284 p. |
Other physical details |
online resource. |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
computer |
Media type code |
c |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
online resource |
Carrier type code |
cr |
Source |
rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
text file |
Encoding format |
PDF |
Source |
rda |
490 1# - SERIES STATEMENT |
Series statement |
Springer Monographs in Mathematics, |
International Standard Serial Number |
1439-7382 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Basic Facts -- Closed Subsets -- Generating Subsets -- Quotient Schemes -- Morphisms -- Faithful Maps -- Products -- From Thin Schemes to Modules -- Scheme Rings -- Dihedral Closed Subsets -- Coxeter Sets -- Spherical Coxeter Sets. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
The present text is an introduction to the theory of association schemes. We start with the de?nition of an association scheme (or a scheme as we shall say brie?y), and in order to do so we ?x a set and call it X. We write 1 to denote the set of all pairs (x,x) with x? X. For each subset X ? r of the cartesian product X�X, we de?ne r to be the set of all pairs (y,z) with (z,y)? r.For x an element of X and r a subset of X� X, we shall denote by xr the set of all elements y in X with (x,y)? r. Let us ?x a partition S of X�X with?? / S and 1 ? S, and let us assume X ? that s ? S for each element s in S. The set S is called a scheme on X if, for any three elements p, q,and r in S, there exists a cardinal number a such pqr ? that|yp?zq| = a for any two elements y in X and z in yr. pqr The notion of a scheme generalizes naturally the notion of a group, and we shall base all our considerations on this observation. Let us, therefore, brie?y look at the relationship between groups and schemes. 0 |
776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
International Standard Book Number |
9783540261360 0 |
830 ## - SERIES ADDED ENTRY--UNIFORM TITLE |
International Standard Serial Number |
1439-738240 |