Spencer Cohomologies and Symmetry Groups

V. Lychagin and L. Zil’Bergleit
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V. Lychagin: “Sophus Lie” Centre (Moscow Branch)
L. Zil’Bergleit: “Sophus Lie” Centre (Moscow Branch)

A chapter in Geometric and Algebraic Structures in Differential Equations, 1995, pp 227-245 from Springer

Abstract: Abstract We propose the construction of a spectral sequence converging to Spencer cohomologies. By using symmetry groups of differential equations systems, we manage to unify computations by reduction to the invariant systems over a homogeneous space. The conditions of coincidence of Spencer cohomologies with the cohomologies of an invariant Spencer complex we obtain from the arithmetic of a ℂ-characteristic manifold with respect to fundamental weights of the homogeneous space.

Keywords: differential equations; Spencer cohomologies; spectral sequences; symmetries; characters; homogeneous space; characteristic manifold; degenerated bicomplexes (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-0179-7_13

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DOI: 10.1007/978-94-009-0179-7_13

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