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Algebra and Applications 1


Algebra and Applications 1

Non-associative Algebras and Categories
1. Aufl.

von: Abdenacer Makhlouf

139,99 €

Verlag: Wiley
Format: PDF
Veröffentl.: 12.03.2021
ISBN/EAN: 9781119818168
Sprache: englisch
Anzahl Seiten: 368

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Beschreibungen

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. <p>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. <p>Each chapter combines some of the features of both a graduate level textbook and of research level surveys.
<p>Foreword xi<br /><i>Abdenacer MAKHLOUF</i></p> <p>Chapter 1. Jordan Superalgebras 1<br /><i>Consuelo MARTINEZ and Efim ZELMANOV</i></p> <p>Chapter 2. Composition Algebras 27<br /><i>Alberto ELDUQUE</i></p> <p>Chapter 3. Graded-Division Algebras 59<br /><i>Yuri BAHTURIN, Mikhail KOCHETOV and Mikhail ZAICEV</i></p> <p>Chapter 4. Non-associative <i>C</i><sup>∗</sup>-algebras 111<br /><i>Ángel RODRÍGUEZ PALACIOS and Miguel CABRERA GARCÍA</i></p> <p>Chapter 5. Structure of <i>H</i><sup>∗</sup>-algebras 155<br /><i>José Antonio CUENCA MIRA</i></p> <p>Chapter 6. Krichever–Novikov Type Algebras: Definitions and Results 199<br /><i>Martin SCHLICHENMAIER</i></p> <p>Chapter 7. An Introduction to Pre-Lie Algebras 245<br /><i>Chengming BAI</i></p> <p>Chapter 8. Symplectic, Product and Complex Structures on 3-Lie Algebras 275<br /><i>Yunhe SHENG and Rong TANG</i></p> <p>Chapter 9. Derived Categories 321<br /><i>Bernhard KELLER</i></p> <p>List of Authors 347</p> <p>Index 349</p>
<p><b>Abdenacer Makhlouf</b> 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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