Skip to main content
SpringerLink
Log in

Indecomposable rank 4 quadratic spaces of non-trivial discriminant over polynomial rings

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Albert, A.A.: Structure of Algebras. Amer. Math. Soc. Colloq. Publ. 1939

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

    Google Scholar 

  3. Knus, M.-A., Parimala, R., Sridharan, R.: Non-free projective modules over ℍ[X,Y] and stable bundles over ℙ2(ℂ). Invent. Math.65,13–27 (1981)

    Google Scholar 

  4. Knus, M.-A., Ojanguren, M., Parimala, R.: Positive definite quadratic bundles over the plane. Comment. Math. Helv.57, 400–411 (1982)

    Google Scholar 

  5. Kopeiko, V.I.: Quadratic spaces and quaternion algebras [Russian]. Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.75, 110–120 (1978).

    Google Scholar 

  6. Ojanguren, M., Parimala, R., Sridharan, R.: Indecomposable quadratic bundles of rank 4n over the real affine plane. Invent. Math.71, 643–653 (1983)

    Google Scholar 

  7. Parimala, R.: Projective modules and hermitian matrices. J. Pure Appl. Algebra7, 5–14 (1976).

    Google Scholar 

  8. Parimala, S.: Failure of a quadratic analogue of Serre's conjecture. Amer. J. Math.100, 913–924 (1978)

    Google Scholar 

  9. Parimala, R.: Automorphisms of non-free projective ideals of polynomial extensions of division rings. Arch. Math. (Basel)38, 531–534 (1982)

    Google Scholar 

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

    Google Scholar 

  11. Parimala, R., Sridharan, R.: A local global principle for quadratic forms over polynomial rings. J. Algebra74, 264–269 (1982)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematics, Tata Institute of Fundamental Research, 400005, Bombay, India

    Raman Parimala & Raman Sridharan

Authors
  1. Raman Parimala
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Raman Sridharan
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

In memory of Singbal

Rights and permissions

Reprints and permissions

About this article

Cite this article

Parimala, R., Sridharan, R. Indecomposable rank 4 quadratic spaces of non-trivial discriminant over polynomial rings. Math Z 183, 281–292 (1983). https://doi.org/10.1007/BF01176472

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01176472

Keywords

Search

Navigation