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What is included with this book?
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.
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.
Foreword xiAbdenacer MAKHLOUF
Chapter 1. Jordan Superalgebras 1Consuelo MARTINEZ and Efim ZELMANOV
Chapter 2. Composition Algebras 27Alberto ELDUQUE
Chapter 3. Graded-Division Algebras 59Yuri BAHTURIN, Mikhail KOCHETOV and Mikhail ZAICEV
Chapter 4. Non-associative C∗-algebras 111Ángel RODRÍGUEZ PALACIOS and Miguel CABRERA GARCÍA
Chapter 5. Structure of H∗-algebras 155José Antonio CUENCA MIRA
Chapter 6. Krichever–Novikov Type Algebras: Definitions and Results 199Martin SCHLICHENMAIER
Chapter 7. An Introduction to Pre-Lie Algebras 245Chengming BAI
Chapter 8. Symplectic, Product and Complex Structures on 3-Lie Algebras 275Yunhe SHENG and Rong TANG
Chapter 9. Derived Categories 321Bernhard KELLER
List of Authors 347
Index 349
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
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