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Author: Antonio Kumpera
Publisher: Presses de l'Université de Montréal
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 108
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Book Description
The main goal of these notes is the description of a non-linear complex into which the integrability (or compatibility) condition is inserted as a non-linear operator in such a way that exactness implies the integrability of the almost-structure (existence of local coordinates for the structure) or, by the introduction of parameters, the existence of a (germ of) deformation of the structure. To the non-linear complex are attached some fundamental identities and a structure equation. The non-linear complex is a finite form of the initial portion of a linear complex which is a differential graded Lie algebra. The operators in the non-linear and linear complexes are of first order.
Author: Antonio Kumpera
Publisher: Presses de l'Université de Montréal
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 108
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Book Description
The main goal of these notes is the description of a non-linear complex into which the integrability (or compatibility) condition is inserted as a non-linear operator in such a way that exactness implies the integrability of the almost-structure (existence of local coordinates for the structure) or, by the introduction of parameters, the existence of a (germ of) deformation of the structure. To the non-linear complex are attached some fundamental identities and a structure equation. The non-linear complex is a finite form of the initial portion of a linear complex which is a differential graded Lie algebra. The operators in the non-linear and linear complexes are of first order.
Author: Donald Clayton Spencer
Publisher: American Mathematical Soc.
ISBN: 0821814230
Category : Mathematics
Languages : en
Pages : 515
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Author: Donald Clayton Spencer
Publisher: World Scientific
ISBN: 9789971978044
Category : Mathematics
Languages : en
Pages : 460
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Author: J. F. Pommaret
Publisher: CRC Press
ISBN: 9780677002705
Category : Mathematics
Languages : en
Pages : 428
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Author: Antonio Kumpera
Publisher: Princeton University Press
ISBN: 1400881730
Category : Mathematics
Languages : en
Pages : 309
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Book Description
In this monograph the authors redevelop the theory systematically using two different approaches. A general mechanism for the deformation of structures on manifolds was developed by Donald Spencer ten years ago. A new version of that theory, based on the differential calculus in the analytic spaces of Grothendieck, was recently given by B. Malgrange. The first approach adopts Malgrange's idea in defining jet sheaves and linear operators, although the brackets and the non-linear theory arc treated in an essentially different manner. The second approach is based on the theory of derivations, and its relationship to the first is clearly explained. The introduction describes examples of Lie equations and known integrability theorems, and gives applications of the theory to be developed in the following chapters and in the subsequent volume.
Author:
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 524
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Author:
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 634
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Author: Marie-Paule Malliavin
Publisher: Springer
ISBN: 3540475923
Category : Mathematics
Languages : en
Pages : 280
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These proceedings reflect the main activities of the Paris Séminaire d'Algèbre 1989-1990, with a series of papers in Invariant Theory, Representation Theory and Combinatorics. It contains original works from J. Dixmier, F. Dumas, D. Krob, P. Pragacz and B.J. Schmid, as well as a new presentation of Derived Categories by J.E. Björk and as introduction to the deformation theory of Lie equations by J.F. Pommaret. J. Dixmier: Sur les invariants du groupe symétrique dans certaines représentations II.- B.J. Schmid: Finite groups and invariant theory.- J.E. Björk: Derived categories.- P. Pragacz: Algebro-Geometric applications of Schur S- and Q-polynomials.- F. Dumas: Sous-corps de fractions rationnelles des corps gauches de séries de Laurent.- D. Krob: Expressions rationnelles sur un anneau.- J.F. Pommaret: Deformation theory of algebraic and Geometric structures.- M. van den Bergh: Differential operators on semi-invariants for tori and weighted projective spaces.
Author: Library of Congress
Publisher:
ISBN:
Category :
Languages : en
Pages : 1004
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 772
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