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Cohomology of discontinuous groups

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Abstract

Prasad (1979) proved that the set of all equivalence classes of representationsp of a Fuchsian group Γ whose restrictions to the cyclic subgroups Γ i -(c i ) corresponding to the parabolic and elliptic elements of Γ occurring in the structure of Γ, are given, is a complex analytic manifold. In the process the author has proved thatH 1(X,A)≈P 1(Γ,ρ) and

with suitable notation.

This paper gives the corresponding results to the two above mentioned results, when in place of Γ we consider any discontinuous group of Poincare isometries Δ, and when similar assumptions are made.

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Authors and Affiliations

  1. Department of Mathematics, Sardar Patel University, 388 120, Vallabh Vidyanagar, India

    P Krishna Prasad

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  1. P Krishna Prasad
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Prasad, P.K. Cohomology of discontinuous groups. Proc. Indian Acad. Sci. (Math. Sci.) 93, 43–52 (1984). https://doi.org/10.1007/BF02861834

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  • DOI: https://doi.org/10.1007/BF02861834

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