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Algebra and Applications 1

Autor Abdenacer Makhlouf
en Limba Engleză Hardback – 11 mai 2021
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.
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Specificații

ISBN-13: 9781789450170
ISBN-10: 1789450179
Pagini: 368
Dimensiuni: 161 x 240 x 24 mm
Greutate: 0.72 kg
Editura: Wiley
Locul publicării:Hoboken, United States

Cuprins

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