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A fixed theorem for finite diffeomorphism groups generated by reflections

Part of the Lecture Notes in Mathematics book series (LNM,volume 168)

Keywords

  • Weyl Group
  • Fundamental Domain
  • Maximal Torus
  • Coxeter Group
  • Induction Assumption

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References

  1. H. S. Coxeter, Regular Polytopes, Methnen & London, (1948).

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  2. W. C. Hsiang and W. Y. Hsiang, Differentiable Actions of Compact Connected Lie groups I. Amer. J. Math. 89 (1967), 705–786; II. (to appear in Ann. of Math.); III. (in preparation).

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  3. W. Y. Hsiang, On the geometric weight system of differentiable transformation groups on acyclic manifolds, (to appear, memeo. at Univ. of Calif. at Berkeley.)

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  4. N. Jacobson, Lie algebra, Interscience publishers, New York (1962).

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  5. J. L. Kozul, Lectures on Group of transformations, Tata Inst. of Fund. Research, Bombay, 1965.

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  6. —, Hyperbolic Coxeter Groups, Notes from Univ. of Notre Dame (1967).

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  7. D. Montgomery and C. T. Yang, The existence of slices, Ann. of Math. 65 (1957), 108–116.

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© 1970 Springer-Verlag

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Hsiang, Wc., Hsiang, Wy. (1970). A fixed theorem for finite diffeomorphism groups generated by reflections. In: Peterson, F.P. (eds) The Steenrod Algebra and Its Applications: A Conference to Celebrate N.E. Steenrod's Sixtieth Birthday. Lecture Notes in Mathematics, vol 168. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058520

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  • DOI: https://doi.org/10.1007/BFb0058520

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05300-2

  • Online ISBN: 978-3-540-36437-5

  • eBook Packages: Springer Book Archive