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Deformation theory of algebras and structures and applications/ edited by Michiel Hazewinkel, Murray Gerstenhaber.

Contributor(s): Gerstenhaber, Murray, ed | Hazewinkel, Michiel, edPublication details: Dordrecht: Springer, 1988Description: 1038 p. 26 cmISBN: 9789401078757Subject(s): Algebra | Perturbation (Mathematics)DDC classification: 514.24

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 --

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University	514.24 HAZ/D (Browse shelf(Opens below))	Available		48404

Total holds: 0

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 --

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