A Classification of Integral Table C-algebras with Irreducible Element of Degree 3

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Publisher :
ISBN 13 :
Total Pages : 418 pages
Book Rating : 4.:/5 (233 download)

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Book Synopsis A Classification of Integral Table C-algebras with Irreducible Element of Degree 3 by : Valery Miloslavsky

Download or read book A Classification of Integral Table C-algebras with Irreducible Element of Degree 3 written by Valery Miloslavsky and published by . This book was released on 1996 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On Normalized Integral Table Algebras (Fusion Rings)

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Publisher : Springer Science & Business Media
ISBN 13 : 085729850X
Total Pages : 279 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis On Normalized Integral Table Algebras (Fusion Rings) by : Zvi Arad

Download or read book On Normalized Integral Table Algebras (Fusion Rings) written by Zvi Arad and published by Springer Science & Business Media. This book was released on 2011-07-20 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of table algebras was introduced in 1991 by Z. Arad and H. Blau in order to treat, in a uniform way, products of conjugacy classes and irreducible characters of finite groups. Today, table algebra theory is a well-established branch of modern algebra with various applications, including the representation theory of finite groups, algebraic combinatorics and fusion rules algebras. This book presents the latest developments in this area. Its main goal is to give a classification of the Normalized Integral Table Algebras (Fusion Rings) generated by a faithful non-real element of degree 3. Divided into 4 parts, the first gives an outline of the classification approach, while remaining parts separately treat special cases that appear during classification. A particularly unique contribution to the field, can be found in part four, whereby a number of the algebras are linked to the polynomial irreducible representations of the group SL3(C). This book will be of interest to research mathematicians and PhD students working in table algebras, group representation theory, algebraic combinatorics and integral fusion rule algebras.

Standard Integral Table Algebras Generated by a Non-real Element of Small Degree

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Publisher : Springer
ISBN 13 : 3540455582
Total Pages : 129 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Standard Integral Table Algebras Generated by a Non-real Element of Small Degree by : Zvi Arad

Download or read book Standard Integral Table Algebras Generated by a Non-real Element of Small Degree written by Zvi Arad and published by Springer. This book was released on 2003-07-01 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to the researchers working in the theory of table algebras and association schemes. This area of algebraic combinatorics has been rapidly developed during the last decade. The volume contains further developments in the theory of table algebras. It collects several papers which deal with a classification problem for standard integral table algebras (SITA). More precisely, we consider SITA with a faithful non-real element of small degree. It turns out that such SITA with some extra conditions may be classified. This leads to new infinite series of SITA which has interesting properties. The last section of the book uses a part of obtained results in the classification of association schemes. This volume summarizes the research which was done at Bar-Ilan University in the academic year 1998/99.

Homogeneous Integral Table Algebras of Degree Three: A Trilogy

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Publisher : American Mathematical Soc.
ISBN 13 : 0821820214
Total Pages : 109 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Homogeneous Integral Table Algebras of Degree Three: A Trilogy by : Harvey I. Blau

Download or read book Homogeneous Integral Table Algebras of Degree Three: A Trilogy written by Harvey I. Blau and published by American Mathematical Soc.. This book was released on 2000 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homogeneous integral table algebras of degree three with a faithful real element. The algebras of the title are classified to exact isomorphism; that is, the sets of structure constants which arise from the given basis are completely determined. Other results describe all possible extensions (pre-images), with a faithful element which is not necessarily real, of certain simple homogeneous integral table algebras of degree three. On antisymmetric homogeneous integral table algebras of degree three. This paper determines the homogeneous integral table algebras of degree three in which the given basis has a faithful element and has no nontrivial elements that are either real (symmetric) or linear, and where an additional hypothesis is satisfied. It is shown that all such bases must occur as the set of orbit sums in the complex group algebra of a finite abelian group under the action of a fixed-point-free automorphism oforder three. Homogeneous integral table algebras of degree three with no nontrivial linear elements. The algebras of the title which also have a faithful element are determined to exact isomorphism. All of the simple homogeneous integral table algebras of degree three are displayed, and the commutative association schemes in which all the nondiagonal relations have valency three and where some relation defines a connected graph on the underlying set are classified up to algebraic isomorphism.

Standard Integral Table Algebras Generated by a Non-real Element of Small Degree

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Publisher : Springer Science & Business Media
ISBN 13 : 3540428518
Total Pages : 129 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Standard Integral Table Algebras Generated by a Non-real Element of Small Degree by : Zvi Arad

Download or read book Standard Integral Table Algebras Generated by a Non-real Element of Small Degree written by Zvi Arad and published by Springer Science & Business Media. This book was released on 2002-01-10 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to the researchers working in the theory of table algebras and association schemes. This area of algebraic combinatorics has been rapidly developed during the last decade. The volume contains further developments in the theory of table algebras. It collects several papers which deal with a classification problem for standard integral table algebras (SITA). More precisely, we consider SITA with a faithful non-real element of small degree. It turns out that such SITA with some extra conditions may be classified. This leads to new infinite series of SITA which has interesting properties. The last section of the book uses a part of obtained results in the classification of association schemes. This volume summarizes the research which was done at Bar-Ilan University in the academic year 1998/99.

Representation Theory of Finite Groups

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Publisher : Walter de Gruyter
ISBN 13 : 3110806290
Total Pages : 164 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Representation Theory of Finite Groups by : Ronald Solomon

Download or read book Representation Theory of Finite Groups written by Ronald Solomon and published by Walter de Gruyter. This book was released on 2012-05-02 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.

Groups St Andrews 1997 in Bath

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Publisher : Cambridge University Press
ISBN 13 : 9780521655880
Total Pages : 396 pages
Book Rating : 4.6/5 (558 download)

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Book Synopsis Groups St Andrews 1997 in Bath by : C. M. Campbell

Download or read book Groups St Andrews 1997 in Bath written by C. M. Campbell and published by Cambridge University Press. This book was released on 1999 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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ISBN 13 :
Total Pages : 836 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral Closure of Ideals, Rings, and Modules

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Publisher : Cambridge University Press
ISBN 13 : 0521688604
Total Pages : 446 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Integral Closure of Ideals, Rings, and Modules by : Craig Huneke

Download or read book Integral Closure of Ideals, Rings, and Modules written by Craig Huneke and published by Cambridge University Press. This book was released on 2006-10-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.

Lie Algebras and Related Topics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821851195
Total Pages : 352 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lie Algebras and Related Topics by : Georgia Benkart

Download or read book Lie Algebras and Related Topics written by Georgia Benkart and published by American Mathematical Soc.. This book was released on 1990 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the problem of determining the finite-dimensional simple Lie algebras over an algebraically closed field of characteristic $p>7$. This book includes topics such as Lie algebras of prime characteristic, algebraic groups, combinatorics and representation theory, and Kac-Moody and Virasoro algebras.

A Book of Abstract Algebra

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Publisher : Courier Corporation
ISBN 13 : 0486474178
Total Pages : 402 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis A Book of Abstract Algebra by : Charles C Pinter

Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Introduction to Representation Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821853511
Total Pages : 240 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Introduction to Representation Theory by : Pavel I. Etingof

Download or read book Introduction to Representation Theory written by Pavel I. Etingof and published by American Mathematical Soc.. This book was released on 2011 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.

Algebra Colloquium

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ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Algebra Colloquium by :

Download or read book Algebra Colloquium written by and published by . This book was released on 1997 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Problems in Abstract Algebra

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Publisher : Elsevier
ISBN 13 : 1483159426
Total Pages : 413 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Computational Problems in Abstract Algebra by : John Leech

Download or read book Computational Problems in Abstract Algebra written by John Leech and published by Elsevier. This book was released on 2014-05-17 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Problems in Abstract Algebra provides information pertinent to the application of computers to abstract algebra. This book discusses combinatorial problems dealing with things like generation of permutations, projective planes, orthogonal latin squares, graphs, difference sets, block designs, and Hadamard matrices. Comprised of 35 chapters, this book begins with an overview of the methods utilized in and results obtained by programs for the investigation of groups. This text then examines the method for establishing the order of a finite group defined by a set of relations satisfied by its generators. Other chapters describe the modification of the Todd–Coxeter coset enumeration process. This book discusses as well the difficulties that arise with multiplication and inverting programs, and of some ways to avoid or overcome them. The final chapter deals with the computational problems related to invariant factors in linear algebra. Mathematicians as well as students of algebra will find this book useful.

An Introduction to Lie Groups and Lie Algebras

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Publisher : Cambridge University Press
ISBN 13 : 0521889693
Total Pages : 237 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis An Introduction to Lie Groups and Lie Algebras by : Alexander A. Kirillov

Download or read book An Introduction to Lie Groups and Lie Algebras written by Alexander A. Kirillov and published by Cambridge University Press. This book was released on 2008-07-31 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.

Abstracts of Papers Presented to the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 826 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Abstracts of Papers Presented to the American Mathematical Society by : American Mathematical Society

Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 2004 with total page 826 pages. Available in PDF, EPUB and Kindle. Book excerpt:

CRC Standard Mathematical Tables and Formulae, 32nd Edition

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Publisher : CRC Press
ISBN 13 : 1439835500
Total Pages : 792 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis CRC Standard Mathematical Tables and Formulae, 32nd Edition by : Daniel Zwillinger

Download or read book CRC Standard Mathematical Tables and Formulae, 32nd Edition written by Daniel Zwillinger and published by CRC Press. This book was released on 2011-06-22 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: With over 6,000 entries, CRC Standard Mathematical Tables and Formulae, 32nd Edition continues to provide essential formulas, tables, figures, and descriptions, including many diagrams, group tables, and integrals not available online. This new edition incorporates important topics that are unfamiliar to some readers, such as visual proofs and sequences, and illustrates how mathematical information is interpreted. Material is presented in a multisectional format, with each section containing a valuable collection of fundamental tabular and expository reference material. New to the 32nd Edition A new chapter on Mathematical Formulae from the Sciences that contains the most important formulae from a variety of fields, including acoustics, astrophysics, epidemiology, finance, statistical mechanics, and thermodynamics New material on contingency tables, estimators, process capability, runs test, and sample sizes New material on cellular automata, knot theory, music, quaternions, and rational trigonometry Updated and more streamlined tables Retaining the successful format of previous editions, this comprehensive handbook remains an invaluable reference for professionals and students in mathematical and scientific fields.