Algebra and Applications 1

Non-associative Algebras and Categories

AvAbdenacer Makhlouf,Abdenacer Makhlouf

Inbunden, Engelska, 2021

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2021-05-11
Mått:10 x 10 x 10 mm
Vikt:454 g
Format:Inbunden
Språk:Engelska
Antal sidor:368
Förlag:ISTE Ltd
ISBN:9781789450170

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Mer om författaren

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.

Innehållsförteckning

Foreword xiAbdenacer MAKHLOUFChapter 1. Jordan Superalgebras 1Consuelo MARTINEZ and Efim ZELMANOVChapter 2. Composition Algebras 27Alberto ELDUQUEChapter 3. Graded-Division Algebras 59Yuri BAHTURIN, Mikhail KOCHETOV and Mikhail ZAICEVChapter 4. Non-associative C∗-algebras 111Ángel RODRÍGUEZ PALACIOS and Miguel CABRERA GARCÍAChapter 5. Structure of H∗-algebras 155José Antonio CUENCA MIRAChapter 6. Krichever–Novikov Type Algebras: Definitions and Results 199Martin SCHLICHENMAIERChapter 7. An Introduction to Pre-Lie Algebras 245Chengming BAIChapter 8. Symplectic, Product and Complex Structures on 3-Lie Algebras 275Yunhe SHENG and Rong TANGChapter 9. Derived Categories 321Bernhard KELLERList of Authors 347Index 349