Deformation Theory of Algebras and Structures and Applications [EBook] / edited by Michiel Hazewinkel, Murray Gerstenhaber.
Deformation Theory of Algebras and Structures and Applications [EBook] / edited by Michiel Hazewinkel, Murray Gerstenhaber.
This volume is a result of a meeting which took place in June 1986 at 'll Ciocco" in Italy entitled 'Deformation theory of algebras and structures and applications'. It appears somewhat later than is perhaps desirable for a volume resulting from a summer school. In return it cont...
Personal Name(s):  Gerstenhaber, Murray, (editor) 

Hazewinkel, Michiel, (editor)  
Imprint: 
Dordrecht :
Springer,
1988

Physical Description: 
VIII, 1030 p. online resource. 
Note: 
englisch 
ISBN: 
9789400930575 
DOI: 
10.1007/9789400930575 
Series Title: 
NATO ASI Series, Series C: Mathematical and Physical Sciences ;
247 
Subject (LOC):  
Full Text 
Table of Contents:
 The philosophy of deformations: introductory remarks and a guide to this volume
 A. Deformations of algebras
 Algebraic cohomology and deformation theory
 Perturbations of Lie algebra structures
 Cohomology of current Lie algebras
 An example of formal deformations of Lie algebras
 On the rigidity of solvable Lie algebras
 Triangular algebras
 B. Perturbations of algebras in functional analysis and operator theory
 Deformation theory for algebras of analytic functions
 Close operator algebras
 Perturbations of function algebras
 Perturbations of multiplication and homomorphisms
 C. Deformations and moduli in geometry and differential equations, and algebras
 Local isoformal deformation theory for meromorphic differential equations near an irregular singularity
 Geometric and Lietheoretic principles in pure and applied deformation theory
 Complexes of differential operators and symmetric spaces
 Deformation theory of geometric and algebraic structures
 Some rigidity results in the deformation theory of symmetric spaces
 D. Deformations of algebras and mathematical and quantum physics
 Applications of the deformations of the algebraic structures to geometry and mathematical physics
 Formal deformations of the Poisson Lie algebra of a symplectic manifold and starproducts. Existence, equivalence, derivations
 Invariant deformations of the Poisson Lie algebra of a symplectic manifold and starproducts
 E. Deformations elsewhere
 A remarkable matrix
 Deformation stability of periodic and quasi periodic motion in dissipative systems
 List of participants.