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Annali di Matematica Pura ed Applicata

, Volume 110, Issue 1, pp 295–319 | Cite as

Sul classificante del gruppoSp(n)·Sp(1)

  • Stefano Marchiafava
  • Giuliano Romani
Article

Sunto

Si studia la coomologia a coefficienti inZ2 del gruppo Sp(n)·Sp(1) e del suo spazio classificante BSp(n)·Sp(1), stabilendo in particolare che H*(Sp(n)·Sp(1),Z2) è generato da un sistema semplice di elementi universalmente trasgressivi e H*(BSp(n)·Sp(1),Z2) è un anello di polinomi suZ2 in classi di Stiefel-Whitney di opportuni fibrati. Ne vengono tratte alcune conseguenze geometriche.

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Bibliografia

  1. [1]
    J. F. Adams,Lectures on Lie Groups, Ed. W. A. Benjamin, New York (1969).Google Scholar
  2. [2]
    A. Borel,Sur la cohomologie mod. 2 de certains espaces homogènes, Comment. Math. Helv.,27 (1953).Google Scholar
  3. [3]
    A. Borel,Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math.,57 (1953).Google Scholar
  4. [4]
    A. Borel,Sur l'homologie et la cohomologie des groupes de Lie compacts connexes, Americ. Journal of Math.,76 (1954).Google Scholar
  5. [5]
    A. Borel - F. Hirzebruch,Characteristic classes and homogeneous spaces, Amer. Journal of Math.,80 (1958).Google Scholar
  6. [6]
    A. Borel - J. P. Serre,Groupes de Lie et puissances réduites de Steenrod, Amer. Journal of Math.,75 (1953).Google Scholar
  7. [7]
    C. Chevalley,Theory of Lie Groupes, Princeton University Press, Princeton, 1946.Google Scholar
  8. [8]
    P. Du Val,Homographies quaternions and rotations, Oxford Mathematical Monographs, Oxford (1964).Google Scholar
  9. [9]
    D. Husemoller,Fiber bundles, McGraw-Hill, New York (1964).Google Scholar
  10. [10]
    S. Marchiafava - G. Romani,Sui fibrati con struttura quaternionale generalizzata, Annali di Matematica (1975).Google Scholar
  11. [11]
    W. S. Massey,Non existence of almost-complex structures on quaternionic projective spaces, Pacific Journal of Math.,12 (1962).Google Scholar
  12. [12]
    J. Milnor,Lectures on characteristic classes, appunti mimegrafati, Princeton University, Princeton, N.J. (1957).Google Scholar
  13. [13]
    M. Zisman,Cohomologie des variétés de Stiefel, Séminaire H. Cartan - J. C. Moore, 12a annata, 1959–60, no. 3.Google Scholar

Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1975

Authors and Affiliations

  • Stefano Marchiafava
    • 1
  • Giuliano Romani
    • 1
  1. 1.Roma

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