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Spencer Cohomologies and Symmetry Groups

In: Geometric and Algebraic Structures in Differential Equations

Author

Listed:
  • V. Lychagin

    (“Sophus Lie” Centre (Moscow Branch))

  • L. Zil’Bergleit

    (“Sophus Lie” Centre (Moscow Branch))

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.

Suggested Citation

  • V. Lychagin & L. Zil’Bergleit, 1995. "Spencer Cohomologies and Symmetry Groups," Springer Books, in: P. H. M. Kersten & I. S. Krasil’Shchik (ed.), Geometric and Algebraic Structures in Differential Equations, pages 227-245, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-0179-7_13
    DOI: 10.1007/978-94-009-0179-7_13
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