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Horospheres and Twistors

  • I. Representations Theory of Finite and Infinite Dimensional Groups
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Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 313))

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References

  1. Gelfand I.M., Naimark M.A., Unitary Representations of classical Groups, Trudy Matem. Instituta AN SSSR, 36 (1950)(in Russian).

    Google Scholar 

  2. Harish-Chandra. Plancherel Formula for Complex Semisimple Lie Groups, Proc. Nat. Acad. Sci. USA, 37, 12 (1951), 813.

    Google Scholar 

  3. Gelfand I.M., Graev M.I., An Analogue of the Plancherel Formula for Classical Groups, Trudy Moskovskogo Matem. Ob-va,4 (1955), 375–404 (in Russian)

    Google Scholar 

  4. Gelfand I.M., Graev M.I., Geometry of Homogeneous Spaces, Representations of groups in Homogeneous Spaces and related Problems of Integral Geometry, Trudy Moskovskogo Matem. Ob-va, 8 (1959), 321–390 (in Russian)

    Google Scholar 

  5. Gelfand I.M., Graev M.I., Shapiro Z.Ya Integral Geometry on k-planes, Functional Analysis and Its Applications, 1, 1 (1967), 15–31, (in Russian)

    Google Scholar 

  6. Gelfand I.M., Graev M.I., Complexes of k-Planes in Cn and the Plancherel Formula for GL(n,C), Doklady AN SSSR, 3 (1968), 522–525 (in Russian)

    Google Scholar 

  7. Gelfand I.M., Gindikin S.G., Shapiro Z.Ya.,Local Problem of Integral Geometry in the Space of Curves, Functional Analysis and Its Applications, 13, 2 (1979), 11–31 (in Russian)

    Google Scholar 

  8. Gindikin S.G.,Reductions of Manifolds of Rational Curves and Related Problems of the Theory of Differential Equations, Functional Analysis and its Applications, 18,4 (1984), 14–39 (in Russian).

    Article  Google Scholar 

  9. Penrose R., Non-linear Gravitons and Curved Tiwistor Theory, Gen. Rel. Grav., 7 (1976), 31–52

    Article  Google Scholar 

  10. Gindikin S.G., Karpelevich F.I., Plancherel Measure for Riemannian Symmetric Spaces of Non-positive Curvature, Doklady AN SSSR, 145, 2 (1962), 252–255 (in Russian).

    Google Scholar 

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Heinz-D. Doebner Jörg-D. Hennig Tchavdar D. Palev

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© 1988 Springer-Verlag

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Gindikin, S.G. (1988). Horospheres and Twistors. In: Doebner, HD., Hennig, JD., Palev, T.D. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012255

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  • DOI: https://doi.org/10.1007/BFb0012255

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50245-6

  • Online ISBN: 978-3-540-45959-0

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