دانلود کتاب Extending Structures-Fundamentals and Applications

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Cover
Half Title
Series Page
Title Page
Copyright Page
Contents
Introduction
Generalities: Basic notions and notation
1. Extending structures: The group case
1.1 Crossed product and bicrossed product of groups
1.2 Group extending structures and unified products
1.3 Classifying complements
1.4 Examples: Applications to the structure of finite groups
2. Leibniz algebras
2.1 Unified products for Leibniz algebras
2.2 Flag extending structures of Leibniz algebras: Examples
2.3 Special cases of unified products for Leibniz algebras
2.4 Classifying complements for extensions of Leibniz algebras
2.5 Itô\'s theorem for Leibniz algebras
3. Lie algebras
3.1 Unified products for Lie algebras
3.2 Flag extending structures: Examples
3.3 Special cases of unified products for Lie algebras
3.4 Matched pair deformations and the factorization index for Lie algebras: The case of perfect Lie algebras
3.5 Matched pair deformations and the factorization index for Lie algebras: The case of non-perfect Lie algebras
3.6 Application: Galois groups and group actions on Lie algebras
4. Associative algebras
4.1 Unified products for algebras
4.2 Flag and supersolvable algebras: Examples
4.3 Special cases of unified products for algebras
4.4 The Galois group of algebra extensions
4.5 Classifying complements for associative algebras
5. Jacobi and Poisson algebras
5.1 (Bi)modules, integrals and Frobenius Jacobi algebras
5.2 Unified products for Jacobi algebras
5.3 Flag Jacobi algebras: Examples
5.4 Classifying complements for Poisson algebras
Bibliography
Index