7 An Introduction to Pre-Lie Algebras
7.1 Introduction
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
15 Index
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
5 Foreword
8 Index
Pages
1 v
2 iii
3 iv
4 xi
5 1
6 2
7 3
8 4
9 5
10 6
11 7
12 8
13 9
14 10
15 11
