Representation Theory Of Association Schemes
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| 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 | : Juby Jacob |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2004 |
| Genre | : |
| ISBN | : |
Download Representation Theory of Association Schemes Book in PDF, Epub and Kindle
| Author | : Akihide Hanaki |
| Publisher | : |
| Total Pages | : 39 |
| Release | : 2010 |
| Genre | : |
| ISBN | : |
Download Representation Theory of Non-Commutative Association Schemes of Order 6 Book in PDF, Epub and Kindle
| Author | : Akihide Hanaki |
| Publisher | : |
| Total Pages | : |
| Release | : 2010 |
| Genre | : |
| ISBN | : |
Download Representation Theory of Imprimitive Non-Commutative Association Schemes of Order 6 Book in PDF, Epub and Kindle
| Author | : Paul-Hermann Zieschang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 295 |
| Release | : 2005-12-19 |
| Genre | : Mathematics |
| ISBN | : 3540305939 |
Download Theory of Association Schemes Book in PDF, Epub and Kindle
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 | : Eiichi Bannai |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 303 |
| Release | : 2021-02-22 |
| Genre | : Mathematics |
| ISBN | : 3110627736 |
Download Algebraic Combinatorics Book in PDF, Epub and Kindle
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 | : Kenneth W. Johnson |
| Publisher | : Springer Nature |
| Total Pages | : 384 |
| Release | : 2019-11-08 |
| Genre | : Mathematics |
| ISBN | : 3030283003 |
Download Group Matrices, Group Determinants and Representation Theory Book in PDF, Epub and Kindle
This book sets out an account of the tools which Frobenius used to discover representation theory for nonabelian groups and describes its modern applications. It provides a new viewpoint from which one can examine various aspects of representation theory and areas of application, such as probability theory and harmonic analysis. For example, the focal objects of this book, group matrices, can be thought of as a generalization of the circulant matrices which are behind many important algorithms in information science. The book is designed to appeal to several audiences, primarily mathematicians working either in group representation theory or in areas of mathematics where representation theory is involved. Parts of it may be used to introduce undergraduates to representation theory by studying the appealing pattern structure of group matrices. It is also intended to attract readers who are curious about ideas close to the heart of group representation theory, which do not usually appear in modern accounts, but which offer new perspectives.
| Author | : Paul-Hermann Zieschang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 314 |
| Release | : 2005-10-20 |
| Genre | : Mathematics |
| ISBN | : 9783540261360 |
Download Theory of Association Schemes Book in PDF, Epub and Kindle
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 | : 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 | : Gordon James |
| Publisher | : Cambridge University Press |
| Total Pages | : 436 |
| Release | : 2001-10-18 |
| Genre | : Mathematics |
| ISBN | : 1139811053 |
Download Representations and Characters of Groups Book in PDF, Epub and Kindle
This book provides a modern introduction to the representation theory of finite groups. Now in its second edition, the authors have revised the text and added much new material. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. Included here are the character tables of all groups of order less than 32, and all simple groups of order less than 1000. Applications covered include Burnside's paqb theorem, the use of character theory in studying subgroup structure and permutation groups, and how to use representation theory to investigate molecular vibration. Each chapter features a variety of exercises, with full solutions provided at the end of the book. This will be ideal as a course text in representation theory, and in view of the applications, will be of interest to chemists and physicists as well as mathematicians.
