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On the orbit structures ofSU(n)-actions on manifolds of the type of Euclidean, spherical or projective spaces

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References

  1. Andrews, G.E.: The theory of partitions. Encyclopedia of mathematics and its applications. Vol. 2. London, Amsterdam, Paris: Addison-Wesley 1976

    Google Scholar 

  2. Beisel, E.P.: Zur Isotropiegruppenstruktur bei komplexen Darstellungen vonSU(n). Dissertation, Bonn. Math. Schr.79 (1975)

  3. Borel, A., et al.: Seminar on transformation groups. Ann. Math. Stud., 46. Princeton: Princeton University Press 1961

    Google Scholar 

  4. Golber, D.: The cohomological description of a torus action. Pac. J. Math.46, 149–154 (1973)

    Google Scholar 

  5. Hsiang, W.C., Hsiang, W.Y.: Differentiable actions of compact connected classical groups. I III. Am. J. Math.89, 705–786 (1967); Ann. Math.92, 189–223 (1970);99, 220–256 (1974)

    Google Scholar 

  6. Hsiang, W.Y.: On the splitting principle and the geometric weight system of topological transformation groups. I. Proceedings 2nd Conf. on Compact Transformation Groups, Amherst, Mass., 1971. Lect. Notes Math. 298, 334–402. Berlin, Heidelberg, New York: Springer 1972

    Google Scholar 

  7. Hsiang, W.Y.: Structural theorems for topological actions of ℤ2 on real, complex and quaternionic projective spaces. Comment. Math. Helv.49, 479–491 (1974)

    Google Scholar 

  8. Hsiang, W.Y.: Cohomology theory of topological transformation groups. Berlin, Heidelberg, New York: Springer 1975

    Google Scholar 

  9. Hsiang, W.Y., Straume, E.: Actions of compact connected Lie groups with few orbit types. J. Reine Angew. Math.334, 1–26 (1982)

    Google Scholar 

  10. Hsiang, W.Y., Straume, E.: On the orbit structures of classical groups acting on manifolds of the type of euclidean, spherical or projective spaces (to appear)

  11. Hsiang, W.Y., Su, J.C.: On the geometric weight system of topological actions on cohomology quaternionic projective spaces. Invent. Math.28, 107–127 (1975)

    Google Scholar 

  12. Morgan, J.W., Bass, H. (eds.): The Smith conjecture. London, New York: Academic Press 1984

    Google Scholar 

  13. Mostow, G.D.: Equivariant embeddings in cuclidean spaces. Ann. Math.65, 432–446 (1967)

    Google Scholar 

  14. Palais, R.: Embedding of compact differentiable transformation groups in orthogonal representations. J. Math. Mech.6, 673–678 (1957)

    Google Scholar 

  15. Smith, P.A.: Fixed points of periodic transformations, Appendix B. In: Lefschetz's algebraic topology. Princeton: Princeton University Press 1942

    Google Scholar 

  16. Straume, E.: Enumeration problems associated with linear equations and the symmetric group, Math. Report, University of Tromsö: 1980

  17. Straume, E.: On the role of the Weyl group in the study of compact Lie transformation groups (to appear)

  18. Wang, H.C.: Homogeneous spaces with non-vanishing Euler characteristics. Ann. Math.50, 925–953 (1949)

    Google Scholar 

  19. Yang, P.: Adjoint type representations of classical groups on homology spheres. Thesis, Princeton University, 1974

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Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    Wu-Yi Hsiang

  2. Department of Mathematics, University of Tromsö, N-9001, Tromsö, Norway

    Eldar Straume

Authors
  1. Wu-Yi Hsiang
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  2. Eldar Straume
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Dedicated to Friedrich Hirzebruch

Research partially supported by National Science Foundation grant #MC577-23579

Research partially supported by the Norwegian Research Council for Science and Humanities (NAVF)

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Hsiang, WY., Straume, E. On the orbit structures ofSU(n)-actions on manifolds of the type of Euclidean, spherical or projective spaces. Math. Ann. 278, 71–97 (1987). https://doi.org/10.1007/BF01458061

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