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Deformation Theory of Algebras and Structures and Applications

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Cover of 'Deformation Theory of Algebras and Structures and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 The philosophy of deformations: introductory remarks and a guide to this volume
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    Chapter 2 Algebraic Cohomology and Deformation Theory
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    Chapter 3 Perturbations of Lie Algebra Structures
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    Chapter 4 Cohomology of Current Lie Algebras
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    Chapter 5 An Example of Formal Deformations of Lie Algebras
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    Chapter 6 On the Rigidity of Solvable Lie Algebras
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    Chapter 7 Triangular Algebras
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    Chapter 8 Deformation Theory for Algebras of Analytic Functions
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    Chapter 9 Close Operator Algebras
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    Chapter 10 Perturbations of function algebras
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    Chapter 11 Perturbations of Multiplication and Homomorphisms
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    Chapter 12 Local Isoformal Deformation Theory for Meromorphic Differential Equations Near an Irregular Singularity
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    Chapter 13 Geometric and Lie-Theoretic Principles in Pure and Applied Deformation Theory
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    Chapter 14 Complexes of Differential Operators and Symmetric Spaces
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    Chapter 15 Deformation Theory of Geometric and Algebraic Structures
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    Chapter 16 Some Rigidity Results in the Deformation Theory of Symmetric Spaces
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    Chapter 17 Applications of the Deformations of the Algebraic Structures to Geometry and Mathemetical Physics
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    Chapter 18 Formal Deformations of the Poisson Lie Algebra of a Symplectic Manifold and Star-Products. Existence, Equivalence, Derivations
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    Chapter 19 Invariant Deformations of the Poisson Lie Algebra of a Symplectic Manifold and Star-Products
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    Chapter 20 A remarkable matrix
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    Chapter 21 Deformation Stability of Periodic and Quasi Periodic Motion in Dissipative Systems
Attention for Chapter 17: Applications of the Deformations of the Algebraic Structures to Geometry and Mathemetical Physics
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Chapter title
Applications of the Deformations of the Algebraic Structures to Geometry and Mathemetical Physics
Chapter number 17
Book title
Deformation Theory of Algebras and Structures and Applications
Published by
Springer, Dordrecht, January 1988
DOI 10.1007/978-94-009-3057-5_17
Book ISBNs
978-9-40-107875-7, 978-9-40-093057-5
Authors

André Lichnerowicz

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