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Quaternionic modules over ℙ2 (ℝ)

Part of the Lecture Notes in Mathematics book series (LNM,volume 917)

Keywords

  • Chern Class
  • Projective Module
  • Division Ring
  • Hermitian Structure
  • Projective Ideal

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References

  1. M. Auslander and O. Goldman, Maximal orders, Trans Amer. Math. Soc. 97 (1960), 1–24

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. M. Auslander and O. Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367–409

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. W. Barth, Moduli of vector bundles on the projective plane. Inventiones Math. 42 (1977), 63–91

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. J.-L. Colliot-Thélène et J.-J. Sansuc, Fibrés quadratiques et composantes connexes réelles, Math. Ann. 244, (1979), 105–134

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. M.-A. Knus and M. Ojanguren, Modules and quadratic forms over polynomial algebras. Proc. Amer. Math. Soc. 66 (1977), 223–226

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. M.-A. Knus, M. Ojanguren and R. Parimala, Positive definite qua-quadratic bundles over the projective plane, Preprint, 1981

    Google Scholar 

  7. M.-A. Knus, M. Ojanguren and R. Sridharan, Quadratic forms and Azumaya algebras, J. Reine Angew. Math. 303/304 (1978), 231–248

    MathSciNet  MATH  Google Scholar 

  8. M.-A. Knus and R. Parimala, Quadratic forms associated with projective modules over quaternion algebras, J. Reine Angew. Math. 318 (1980), 20–31

    MathSciNet  MATH  Google Scholar 

  9. M.-A. Knus, R. Parimala and R. Sridharan, Non-free projective modules over H[x,y] and stable bundles over ℙ2 (C), Inventiones Math.

    Google Scholar 

  10. J. S. Milne, Etale Cohomology, Princeton University Press, 1980, Princeton

    MATH  Google Scholar 

  11. M. Ojanguren, R. Parimala and R. Sridharan, Indecomposable quadratic bundles of rank 4n over the real affine plane, Preprint, 1981

    Google Scholar 

  12. M. Ojanguren and R. Sridharan, Cancellation of Azumaya algebras, J. Algebra 18 (1971), 501–505

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. R. Parimala and R. Sridharan, Projective modules over polynomial rings over division rings, J. Math. Kyoto Univ. 15 (1975), 129–148

    MathSciNet  MATH  Google Scholar 

  14. J. T. Stafford, Projective modules of polynomial extensions of division rings, Inventiones Math. 59 (1980), 105–117

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1982 Springer-Verlag

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Knus, MA. (1982). Quaternionic modules over ℙ2 (ℝ). In: van Oystaeyen, F.M.J., Verschoren, A.H.M.J. (eds) Brauer Groups in Ring Theory and Algebraic Geometry. Lecture Notes in Mathematics, vol 917. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092239

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  • DOI: https://doi.org/10.1007/BFb0092239

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11216-7

  • Online ISBN: 978-3-540-39057-2

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