000 a
999 _c198896
_d198896
020 _a9789401078757
040 _cCUS
082 _a514.24
_bHAZ/D
245 _aDeformation theory of algebras and structures and applications/
_cedited by Michiel Hazewinkel, Murray Gerstenhaber.
260 _aDordrecht:
_bSpringer,
_c1988.
300 _a1038 p.
_c26 cm.
505 _aThe 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 --
650 _aAlgebra
650 _aPerturbation (Mathematics)
700 _aGerstenhaber, Murray, ed.
700 _aHazewinkel, Michiel, ed.
942 _cWB16