Author : Paul-Hermann Zieschang
Publisher : Springer Science & Business Media
Page : 314 pages
File Size : 27,91 MB
Release : 2005-10-20
Category : Mathematics
ISBN : 9783540261360
This book is a concept-oriented treatment of the structure theory of association schemes. The generalization of Sylow’s group theoretic theorems to scheme theory arises as a consequence of arithmetical considerations about quotient schemes. The theory of Coxeter schemes (equivalent to the theory of buildings) emerges naturally and yields a purely algebraic proof of Tits’ main theorem on buildings of spherical type.
Author : Paul-Hermann Zieschang
Publisher : Springer Science & Business Media
Page : 295 pages
File Size : 21,79 MB
Release : 2005-12-19
Category : Mathematics
ISBN : 3540305939
This book is a concept-oriented treatment of the structure theory of association schemes. The generalization of Sylow’s group theoretic theorems to scheme theory arises as a consequence of arithmetical considerations about quotient schemes. The theory of Coxeter schemes (equivalent to the theory of buildings) emerges naturally and yields a purely algebraic proof of Tits’ main theorem on buildings of spherical type.
Author : Heiner Zieschang
Publisher :
Page : 438 pages
File Size : 46,63 MB
Release :
Category :
ISBN :
Author : Paul-Hermann Zieschang
Publisher : Springer
Page : 201 pages
File Size : 17,37 MB
Release : 2006-11-13
Category : Mathematics
ISBN : 3540685235
The primary object of the lecture notes is to develop a treatment of association schemes analogous to that which has been so successful in the theory of finite groups. The main chapters are decomposition theory, representation theory, and the theory of generators. Tits buildings come into play when the theory of generators is developed. Here, the buildings play the role which, in group theory, is played by the Coxeter groups. - The text is intended for students as well as for researchers in algebra, in particular in algebraic combinatorics.
Author : Juby Jacob
Publisher :
Page : 147 pages
File Size : 44,46 MB
Release : 2004
Category :
ISBN :
Author : R. A. Bailey
Publisher : Cambridge University Press
Page : 410 pages
File Size : 40,91 MB
Release : 2004-02-26
Category : Mathematics
ISBN : 9781139449939
Association schemes are of interest to both mathematicians and statisticians and this book was written with both audiences in mind. For statisticians, it shows how to construct designs for experiments in blocks, how to compare such designs, and how to analyse data from them. The reader is only assumed to know very basic abstract algebra. For pure mathematicians, it tells why association schemes are important and develops the theory to the level of advanced research. This book arose from a course successfully taught by the author and as such the material is thoroughly class-tested. There are a great number of examples and exercises that will increase the book's appeal to both graduate students and their instructors. It is ideal for those coming either from pure mathematics or statistics backgrounds who wish to develop their understanding of association schemes.
Author : Eiichi Bannai
Publisher : Walter de Gruyter GmbH & Co KG
Page : 303 pages
File Size : 30,52 MB
Release : 2021-02-22
Category : Mathematics
ISBN : 3110627736
This series is devoted to the publication of high-level monographs which cover the whole spectrum of current discrete mathematics and its applications in various fields. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of discrete mathematics. Contributions which are on the borderline of discrete mathematics and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.
Author : Kulakkatt SankunnyNair Vijayan
Publisher :
Page : 252 pages
File Size : 27,75 MB
Release : 1973
Category : Graph theory
ISBN :
Author : Marshall Hall
Publisher : Taylor & Francis
Page : 500 pages
File Size : 40,66 MB
Release : 1975-04-30
Category : Mathematics
ISBN : 9789027705938
Proceedings of the NATO Advanced Study Institute, Breukelen, The Netherlands, July 8-30, 1974
Author : David Eisenbud
Publisher : Springer Science & Business Media
Page : 265 pages
File Size : 46,25 MB
Release : 2006-04-06
Category : Mathematics
ISBN : 0387226397
Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
