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Theory Of Association Schemes
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Author :Paul-Hermann Zieschang Publisher :Springer Science & Business Media ISBN 13 :9783540261360 Total Pages :314 pages Book Rating :4.2/5 (613 download)
Book Synopsis Theory of Association Schemes by : Paul-Hermann Zieschang
Download or read book Theory of Association Schemes written by Paul-Hermann Zieschang and published by Springer Science & Business Media. This book was released on 2005-10-20 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ISBN 13 :3540305939 Total Pages :295 pages Book Rating :4.5/5 (43 download)
Book Synopsis Theory of Association Schemes by : Paul-Hermann Zieschang
Download or read book Theory of Association Schemes written by Paul-Hermann Zieschang and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Theory of Association Schemes by : Heiner Zieschang
Download or read book The Theory of Association Schemes written by Heiner Zieschang and published by . This book was released on with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Algebraic Approach to Association Schemes by : Paul-Hermann Zieschang
Download or read book An Algebraic Approach to Association Schemes written by Paul-Hermann Zieschang and published by Springer. This book was released on 2006-11-13 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Representation Theory of Association Schemes by : Juby Jacob
Download or read book Representation Theory of Association Schemes written by Juby Jacob and published by . This book was released on 2004 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Combinatorics by : Eiichi Bannai
Download or read book Algebraic Combinatorics written by Eiichi Bannai and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-02-22 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Association Schemes by : R. A. Bailey
Download or read book Association Schemes written by R. A. Bailey and published by Cambridge University Press. This book was released on 2004-02-26 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Nonexistence Theory for Association Schemes and Symmetric Graphs by : Kulakkatt SankunnyNair Vijayan
Download or read book A Nonexistence Theory for Association Schemes and Symmetric Graphs written by Kulakkatt SankunnyNair Vijayan and published by . This book was released on 1973 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Geometry of Schemes by : David Eisenbud
Download or read book The Geometry of Schemes written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Combinatorics written by M. Hall Jr. and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics has come of age. It had its beginnings in a number of puzzles which have still not lost their charm. Among these are EULER'S problem of the 36 officers and the KONIGSBERG bridge problem, BACHET's problem of the weights, and the Reverend T.P. KIRKMAN'S problem of the schoolgirls. Many of the topics treated in ROUSE BALL'S Recreational Mathe matics belong to combinatorial theory. All of this has now changed. The solution of the puzzles has led to a large and sophisticated theory with many complex ramifications. And it seems probable that the four color problem will only be solved in terms of as yet undiscovered deep results in graph theory. Combinatorics and the theory of numbers have much in common. In both theories there are many prob lems which are easy to state in terms understandable by the layman, but whose solution depends on complicated and abstruse methods. And there are now interconnections between these theories in terms of which each enriches the other. Combinatorics includes a diversity of topics which do however have interrelations in superficially unexpected ways. The instructional lectures included in these proceedings have been divided into six major areas: 1. Theory of designs; 2. Graph theory; 3. Combinatorial group theory; 4. Finite geometry; 5. Foundations, partitions and combinatorial geometry; 6. Coding theory. They are designed to give an overview of the classical foundations of the subjects treated and also some indication of the present frontiers of research.
Book Synopsis Galois Theory of Association Schemes by : C. D. (Christopher David) Godsil
Download or read book Galois Theory of Association Schemes written by C. D. (Christopher David) Godsil and published by . This book was released on 1998 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Theory of Non-symmetric Association Schemes with Three Classes by : H. L. Claasen
Download or read book The Theory of Non-symmetric Association Schemes with Three Classes written by H. L. Claasen and published by . This book was released on 1986 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Codes and Association Schemes by : Alexander Barg
Download or read book Codes and Association Schemes written by Alexander Barg and published by American Mathematical Soc.. This book was released on 2001 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents papers related to the DIMACS workshop, "Codes and Association Schemes". The articles are devoted to the following topics: applications of association schemes and of the polynomial method to properties of codes, structural results for codes, structural results for association schemes, and properties of orthogonal polynomials and their applications in combinatorics. Papers on coding theory are related to classical topics, such as perfect codes, bounds on codes, codes and combinatorial arrays, weight enumerators, and spherical designs. Papers on orthogonal polynomials provide new results on zeros and symptotic properties of standard families of polynomials encountered in coding theory. The theme of association schemes is represented by new classification results and new classes of schemes related to posets. This volume collects up-to-date applications of the theory of association schemes to coding and presents new properties of both polynomial and general association schemes. It offers a solid representation of results in problems in areas of current interest.
Book Synopsis An Algebraic Approach to the Association Schemes of Coding Theory by : P. Delsarte
Download or read book An Algebraic Approach to the Association Schemes of Coding Theory written by P. Delsarte and published by . This book was released on 1973 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectra of Graphs by : Andries E. Brouwer
Download or read book Spectra of Graphs written by Andries E. Brouwer and published by Springer Science & Business Media. This book was released on 2011-12-17 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering standard topics before presenting some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end of each chapter provide practice and vary from easy yet interesting applications of the treated theory, to little excursions into related topics. Tables, references at the end of the book, an author and subject index enrich the text. Spectra of Graphs is written for researchers, teachers and graduate students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included.
Book Synopsis Representation Theory of Non-Commutative Association Schemes of Order 6 by : Akihide Hanaki
Download or read book Representation Theory of Non-Commutative Association Schemes of Order 6 written by Akihide Hanaki and published by . This book was released on 2010 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Association Schemes and Mutually Unbiased Hadamard Matrices by : Sara Sasani
Download or read book Association Schemes and Mutually Unbiased Hadamard Matrices written by Sara Sasani and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is an examination of the theory of association schemes. A part of this thesis focuses on the relation between association schemes and different combinatorial objects. Special attention is paid to the notion of Bose-Mesner algebra of an association scheme, which leads us to eigenmatrices, Krein matrices, and intersection matrices. It is shown that if an association scheme is imprimitive, it can be used to generate a quotient association scheme. Different constructions are used to generate association schemes. This thesis explains how to generate a new class of association schemes from mutually unbiased Bushtype Hadamard matrices (abbreviated as MUBH). This class of association schemes leads to an upper bound on the number of mutually unbiased Bush-type Hadamard matrices. Lastly, the existence of this class of association schemes results in the existence of sets of MUBH.
