Author: C. D. (Christopher David) GodsilPublisher:
ISBN:
Category : Association schemes (Combinatorial analysis)
Languages : en
Pages : 9
Book Description
Galois Theory of Association Schemes
Author: C. D. (Christopher David) GodsilPublisher:
ISBN:
Category : Association schemes (Combinatorial analysis)
Languages : en
Pages : 9
Book Description
Theory of Association Schemes
Author: Paul-Hermann ZieschangPublisher: Springer Science & Business Media
ISBN: 9783540261360
Category : Mathematics
Languages : en
Pages : 314
Book Description
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.
An Algebraic Approach to Association Schemes
Author: Paul-Hermann ZieschangPublisher: Springer
ISBN: 3540685235
Category : Mathematics
Languages : en
Pages : 201
Book Description
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.
Algebraic Combinatorics
Author: Eiichi BannaiPublisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110627736
Category : Mathematics
Languages : en
Pages : 303
Book Description
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.
Association Schemes
Author: R. A. BaileyPublisher: Cambridge University Press
ISBN: 9781139449939
Category : Mathematics
Languages : en
Pages : 410
Book Description
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.
Introduction to Singularities and Deformations
Author: Gert-Martin GreuelPublisher: Springer Science & Business Media
ISBN: 3540284192
Category : Mathematics
Languages : en
Pages : 482
Book Description
Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory and the theory of plane curve singularities. It includes complete proofs.
The Theory of Non-symmetric Association Schemes with Three Classes
Author: H. L. ClaasenThe Higher Infinite
Author: Akihiro KanamoriPublisher: Springer Science & Business Media
ISBN: 3540888667
Category : Mathematics
Languages : en
Pages : 554
Book Description
Over the years, this book has become a standard reference and guide in the set theory community. It provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research, with open questions and speculations throughout.
Sequences and Their Applications - SETA 2008
Author: Solomon W. GolombPublisher: Springer
ISBN: 3540859128
Category : Computers
Languages : en
Pages : 431
Book Description
This book constitutes the refereed proceedings of the 5th International Conference on Sequences and Their Applications, SETA 2008, held in Lexington, KY, USA in September 2008. The 32 revised full papers presented were carefully reviewed and selected. The papers are organized in topical sections on probabilistic methods and randomness properties of sequences; correlation; combinatorial and algebraic foundations; security aspects of sequences; algorithms; correlation of sequences over rings; nonlinear functions over finite fields.
Galois Groups and Fundamental Groups
Author: Tamás SzamuelyPublisher: Cambridge University Press
ISBN: 0521888506
Category : Mathematics
Languages : en
Pages : 281
Book Description
Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level.