Deformation theory of algebras and structures and applications/
edited by Michiel Hazewinkel, Murray Gerstenhaber.
- Dordrecht: Springer, 1988.
- 1038 p. 26 cm.
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 --