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Non-Associative Algebra and Its Applications

Author: Lev Sabinin

Publisher: CRC Press

Published: 2006-01-13

Total Pages: 553

ISBN-13: 1420003453

With contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and natural sciences.

NonasSociative Algebra and Its Applications

Author: R Costa

Publisher: CRC Press

Published: 2019-05-20

Total Pages: 492

ISBN-13: 0429529996

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A collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil. Topics in algebra theory include alternative, Bernstein, Jordan, lie, and Malcev algebras and superalgebras. The volume presents applications to population genetics theory, physics, and more.

Non-Associative Algebra and Its Applications

Author: Santos González

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 429

ISBN-13: 9401109907

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This volume contains the proceedings of the Third International Conference on Non-Associative Algebra and Its Applications, held in Oviedo, Spain, July 12--17, 1993. The conference brought together specialists from all over the world who work in this interesting and active field, which is currently enjoying much attention. All aspects of non-associative algebra are covered. Topics range from purely mathematical subjects to a wide spectrum of applications, and from state-of-the-art articles to overview papers. This collection will point the way for further research for many years to come. The volume is of interest to researchers in mathematics as well as those whose work involves the application of non-associative algebra in such areas as physics, biology and genetics.

Non-Associative Algebra and Its Applications

Author: Lev V. Sabinin

Publisher:

Published: 2017

Total Pages:

ISBN-13:

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Annotation With international contributors, this text explores a wide range of topics relating to Non-Associative Algebra and focuses on its applications to geometry, physics, and natural sciences.

Nonassociative Algebra and Its Applications

Author: Taylor & Francis Group

Publisher: CRC Press

Published: 2020-09-30

Total Pages: 488

ISBN-13: 9781138401761

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Associative and Non-Associative Algebras and Applications

Author: Mercedes Siles Molina

Publisher: Springer Nature

Published: 2020-01-02

Total Pages: 338

ISBN-13: 3030352560

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This book gathers together selected contributions presented at the 3rd Moroccan Andalusian Meeting on Algebras and their Applications, held in Chefchaouen, Morocco, April 12-14, 2018, and which reflects the mathematical collaboration between south European and north African countries, mainly France, Spain, Morocco, Tunisia and Senegal. The book is divided in three parts and features contributions from the following fields: algebraic and analytic methods in associative and non-associative structures; homological and categorical methods in algebra; and history of mathematics. Covering topics such as rings and algebras, representation theory, number theory, operator algebras, category theory, group theory and information theory, it opens up new avenues of study for graduate students and young researchers. The findings presented also appeal to anyone interested in the fields of algebra and mathematical analysis.

NonasSociative Algebra and Its Applications

Author: R. Costa

Publisher: CRC Press

Published: 2019-05-20

Total Pages: 488

ISBN-13: 1482270463

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Introduction to Octonion and Other Non-Associative Algebras in Physics

Author: Susumu Okubo

Publisher: Cambridge University Press

Published: 1995-08-03

Total Pages: 152

ISBN-13: 0521472156

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In this book, the author aims to familiarize researchers and graduate students in both physics and mathematics with the application of non-associative algebras in physics.Topics covered by the author range from algebras of observables in quantum mechanics, angular momentum and octonions, division algebra, triple-linear products and YangSHBaxter equations. The author also covers non-associative gauge theoretic reformulation of Einstein's general relativity theory and so on. Much of the material found in this book is not available in other standard works.

Algebra and Applications 1

Author: Abdenacer Makhlouf

Publisher: John Wiley & Sons

Published: 2021-03-31

Total Pages: 368

ISBN-13: 111981815X

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This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the first of three volumes specifically focusing on algebra and its applications. Algebra and Applications 1 centers on non-associative algebras and includes an introduction to derived categories. The chapters are written by recognized experts in the field, providing insight into new trends, as well as a comprehensive introduction to the theory. The book incorporates self-contained surveys with the main results, applications and perspectives. The chapters in this volume cover a wide variety of algebraic structures and their related topics. Jordan superalgebras, Lie algebras, composition algebras, graded division algebras, non-associative C*- algebras, H*-algebras, Krichever-Novikov type algebras, preLie algebras and related structures, geometric structures on 3-Lie algebras and derived categories are all explored. Algebra and Applications 1 is of great interest to graduate students and researchers. Each chapter combines some of the features of both a graduate level textbook and of research level surveys.

Nonassociative Mathematics and its Applications

Author: Petr Vojtěchovský

Publisher: American Mathematical Soc.

Published: 2019-01-14

Total Pages: 297

ISBN-13: 1470442450

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Nonassociative mathematics is a broad research area that studies mathematical structures violating the associative law x(yz)=(xy)z. The topics covered by nonassociative mathematics include quasigroups, loops, Latin squares, Lie algebras, Jordan algebras, octonions, racks, quandles, and their applications. This volume contains the proceedings of the Fourth Mile High Conference on Nonassociative Mathematics, held from July 29–August 5, 2017, at the University of Denver, Denver, Colorado. Included are research papers covering active areas of investigation, survey papers covering Leibniz algebras, self-distributive structures, and rack homology, and a sampling of applications ranging from Yang-Mills theory to the Yang-Baxter equation and Laver tables. An important aspect of nonassociative mathematics is the wide range of methods employed, from purely algebraic to geometric, topological, and computational, including automated deduction, all of which play an important role in this book.