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Hurwitz Problem

  • Takashi Ono
Part of the The University Series in Mathematics book series (USMA)

Abstract

We have a homework problem to prove Theorem 5. The theorem provides us with an algebraic criterion for the existence of a Hopf map of the first kind. Although the ground field in this context is the real numbers, we start with an arbitrary field K of characteristic ≠2.

Keywords

Orthogonal Basis Left Ideal Division Algebra Clifford Algebra Simple Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    C. Chevalley, Algebraic Theory of Spinors, Columbia Univ. Press, New York (1954).zbMATHGoogle Scholar
  2. 2.
    P. Hilton, General Cohomology Theory and K-Theory, London Math. Soc. Lect. Note Ser., 1, Cambridge Univ. Press (1971).Google Scholar
  3. 3.
    A. Hurwitz, Mathematische Werke, Bd. 2., Birkhäuser (1964).Google Scholar
  4. 4.
    D. Husemoller, Fibre Bundles, Grad. Texts in Math., 20, Springer, New York-Heidelberg-Berlin (1975).zbMATHGoogle Scholar
  5. 5.
    T. Y. Lam, Algebraic Theory of Quadratic Forms, W. A. Benjamin, Reading, MA (1973).zbMATHGoogle Scholar
  6. 6.
    I. Satake, Stories of Lie Algebras, Nipponhyoron, Tokyo (1987).Google Scholar
  7. 7.
    R. D. Schafer, An Introduction to Nonassociative Algebras, Academic Press, New York (1966).zbMATHGoogle Scholar
  8. 8.
    N. Steenrod, Topology of Fibre Bundles, Princeton Univ. Press, Princeton, NJ, (1951).zbMATHGoogle Scholar
  9. 9.
    J. A. Tyrrell and J. G. Semple, Generalized Clifford Parallelism, Cambridge Tracts in Math., 61, Cambridge Univ. Press, Cambridge, UK (1971).zbMATHGoogle Scholar

Copyright information

© Takashi Ono 1994

Authors and Affiliations

  • Takashi Ono
    • 1
  1. 1.The Johns Hopkins UniversityBaltimoreUSA

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