Deformation Theory of Algebras and Structures and Applications [E-Book] / edited by Michiel Hazewinkel, Murray Gerstenhaber.
Gerstenhaber, Murray, (editor)
Hazewinkel, Michiel, (editor)
Dordrecht : Springer, 1988
VIII, 1030 p. online resource.
NATO ASI Series, Series C: Mathematical and Physical Sciences ; 247
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 Lie-theoretic 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 star-products. Existence, equivalence, derivations
  • Invariant deformations of the Poisson Lie algebra of a symplectic manifold and star-products
  • E. Deformations elsewhere
  • A remarkable matrix
  • Deformation stability of periodic and quasi periodic motion in dissipative systems
  • List of participants.