Theory Of Association Schemes
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| Author | : Paul-Hermann Zieschang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 295 |
| Release | : 2005-12-19 |
| Genre | : Mathematics |
| ISBN | : 3540305939 |
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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 |
| Total Pages | : 201 |
| Release | : 2006-11-13 |
| Genre | : Mathematics |
| ISBN | : 3540685235 |
Download An Algebraic Approach to Association Schemes Book in PDF, Epub and Kindle
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 | : R. A. Bailey |
| Publisher | : Cambridge University Press |
| Total Pages | : 410 |
| Release | : 2004-02-26 |
| Genre | : Mathematics |
| ISBN | : 9781139449939 |
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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 | : Heiner Zieschang |
| Publisher | : |
| Total Pages | : 438 |
| Release | : |
| Genre | : |
| ISBN | : |
Download The Theory of Association Schemes Book in PDF, Epub and Kindle
| Author | : Eiichi Bannai |
| Publisher | : Addison-Wesley Longman |
| Total Pages | : 464 |
| Release | : 1984-01-21 |
| Genre | : Mathematics |
| ISBN | : |
Download Algebraic Combinatorics I Book in PDF, Epub and Kindle
| Author | : Juby Jacob |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2004 |
| Genre | : |
| ISBN | : |
Download Representation Theory of Association Schemes Book in PDF, Epub and Kindle
| Author | : Kulakkatt SankunnyNair Vijayan |
| Publisher | : |
| Total Pages | : 252 |
| Release | : 1973 |
| Genre | : Graph theory |
| ISBN | : |
Download A Nonexistence Theory for Association Schemes and Symmetric Graphs Book in PDF, Epub and Kindle
| Author | : Alexander Barg |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 317 |
| Release | : 2001 |
| Genre | : Computers |
| ISBN | : 0821820745 |
Download Codes and Association Schemes Book in PDF, Epub and Kindle
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.
| Author | : H. L. Claasen |
| Publisher | : |
| Total Pages | : 65 |
| Release | : 1986 |
| Genre | : |
| ISBN | : |
Download The Theory of Non-symmetric Association Schemes with Three Classes Book in PDF, Epub and Kindle
| Author | : Laura Mariko Chihara |
| Publisher | : |
| Total Pages | : 166 |
| Release | : 1985 |
| Genre | : |
| ISBN | : |
Download Applications of the Askey-Wilson Polynomials to Association Schemes Book in PDF, Epub and Kindle
