Algebra and applications. 1, Non-associative algebras and categories / Coordinated by Abdenacer Makhlouf.

Contributor(s): Makhlouf, Abdenacer
Language: English Series: Sciences, Mathematics, Algebra and geometry: Publisher: London : Hoboken : ISTE, Ltd. ; Wiley, 2021Description: 1 online resource (369 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9781789450170 ; 9781119818175; 1119818176; 9781119818168; 1119818168Other title: Non-associative algebras and categoriesSubject(s): AlgebraGenre/Form: Electronic books.DDC classification: 512 LOC classification: QA152.3Online resources: Full text is available at Wiley Online Library Click here to view.
Contents:
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 Ángel RODRÍGUEZ PALACIOS and Miguel CABRERA GARCÍA Chapter 5. Structure of H∗-algebras 155 José 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
Summary: 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.
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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
Ángel RODRÍGUEZ PALACIOS and Miguel CABRERA GARCÍA

Chapter 5. Structure of H∗-algebras 155
José 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

Available to OhioLINK libraries.

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.

About the Author

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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