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7.2 Some appearances of pre-Lie algebras 7.3 Some basic results and constructions of pre-Lie algebras 7.4 Pre-Lie algebras and CYBE 7.5 A larger framework: Lie analogues of Loday algebras 7.6 References

      12  8 Symplectic, Product and Complex Structures on 3-Lie Algebras 8.1 Introduction 8.2 Preliminaries 8.3 Representations of 3-pre-Lie algebras 8.4 Symplectic structures and phase spaces of 3-Lie algebras 8.5 Product structures on 3-Lie algebras 8.6 Complex structures on 3-Lie algebras 8.7 Complex product structures on 3-Lie algebras 8.8 Para-Kähler structures on 3-Lie algebras 8.9 Pseudo-Kähler structures on 3-Lie algebras 8.10 References

      13  9 Derived Categories 9.1 Introduction 9.2 Grothendieck’s definition 9.3 Verdier’s definition 9.4 Triangulated structure 9.5 Derived functors 9.6 Derived Morita theory 9.7 Dg categories 9.8 References

      14  List of Authors

      15  Index

      16  End User License Agreement

      List of Illustrations

      1 Chapter 2Figure 2.1. Multiplication table of the split Cayley algebraFigure 2.2. Multiplication table of the split Okubo algebra

      2 Chapter 6Figure 6.1. Riemann surface of genus zero with one incoming and one outgoing poi...Figure 6.2. Riemann surface of genus two with one incoming and one outgoing poin...Figure 6.3. Riemann surface of genus two with two incoming points and one outgoi...

      Guide

      1  Cover

      2  Table of Contents

      3  Title Page

      4  Copyright

      5  Foreword

      6  Begin Reading

      7  List of Authors

      8  Index

      9  End User License Agreement

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