Overview

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.

Full Product Details

Author:   Abdenacer Makhlouf
Publisher:   ISTE Ltd
Imprint:   ISTE Ltd
Dimensions:   Width: 1.00cm , Height: 1.00cm , Length: 1.00cm
Weight:   0.454kg
ISBN:  

9781789450170

ISBN 10:   1789450179
Pages:   368
Publication Date:   11 May 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Foreword xi Abdenacer MAKHLOUF Chapter 1. Jordan Superalgebras 1 Consuelo MARTINEZ and Efim ZELMANOV Chapter 2. Composition Algebras 27 Alberto ELDUQUE Chapter 3. Graded-Division Algebras 59 Yuri BAHTURIN, Mikhail KOCHETOV and Mikhail ZAICEV Chapter 4. Non-associative C -algebras 111 Angel RODRIGUEZ PALACIOS and Miguel CABRERA GARCIA Chapter 5. Structure of H -algebras 155 Jose Antonio CUENCA MIRA Chapter 6. Krichever-Novikov Type Algebras: Definitions and Results 199 Martin SCHLICHENMAIER Chapter 7. An Introduction to Pre-Lie Algebras 245 Chengming BAI Chapter 8. Symplectic, Product and Complex Structures on 3-Lie Algebras 275 Yunhe SHENG and Rong TANG Chapter 9. Derived Categories 321 Bernhard KELLER List of Authors 347 Index 349

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Author Information

Abdenacer Makhlouf is a Professor and head of the mathematics department at the University of Haute Alsace, France. His research covers structure, representation theory, deformation theory and cohomology of various types of algebras, including non-associative algebras, Hopf algebras and n-ary algebras.

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