Deformation theory of algebras and structures and applications/
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 --
9789401078757
Algebra
Perturbation (Mathematics)
514.24 / HAZ/D
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 --
9789401078757
Algebra
Perturbation (Mathematics)
514.24 / HAZ/D