Skip to main content
Log in

Classification theorems for quadratic forms over fields

  • Published:
Commentarii Mathematici Helvetici

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

Access this article

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

Instant access to the full article PDF.

References

  1. Delzant, A.,Définition des classes de Stiefel-Whitney, d’un module quadratique sur un corps de caractéritique différente, de 2, C. R. Acad. Sci. Paris255 (1962), 1366–1368.

    MATH  MathSciNet  Google Scholar 

  2. Elman, R. andLam, T. Y.,Quadratic forms over formally real fields and pythagorean fields, Amer. J. Math.94 (1972), 1155–1194.

    Article  MATH  MathSciNet  Google Scholar 

  3. —,Quadratic forms and the u-invariant, I, Math. Zeit.131 (1973), 283–304.

    Article  MATH  MathSciNet  Google Scholar 

  4. —,Quadratic forms and the u-invariant, II, Invent. Math.21 (1973), 125–137.

    Article  MATH  MathSciNet  Google Scholar 

  5. Elman, R. andLam, T. Y.,On the quaternion symbol homomorphism g F :k 2 F→B(F), Proc. of Seattle AlgebraicK-theory Conference, Springer Lecture Notes in Mathematics,342, 447–463.

  6. Elman, R., Lam, T. Y., andPrestel, A.,On some Hasse Principles over formally real fields, Math. Zeit. 134 (1973), 291–301.

    Article  MATH  MathSciNet  Google Scholar 

  7. Jacobson, N.,Lie Algebras, Interscience Tracts in pure and applied mathematics10, New York, 1962.

  8. Lam, T. Y.,The Algebraic Theory of Quadratic Forms, Benjamin, 1973.

  9. Mandelberg, K. I.,On the classification of quadratic forms over semi-local rings, To appear.

  10. Milnor, J.,Algebraic K-theory and quadratic forms, Invent. Math.9 (1970), 318–344.

    Article  MATH  MathSciNet  Google Scholar 

  11. Pfister, A.,Quadratische Formen in beliebigen Körpern, Invent. Math.1 (1966), 116–132.

    Article  MATH  MathSciNet  Google Scholar 

  12. Sah, C. H.,Symmetric bilinear forms and quadratic forms, J. of Algebra20 (1972), 144–160.

    Article  MATH  MathSciNet  Google Scholar 

  13. Scharlau, W.,Quadratische Formen und Galois-Cohomologie, Invent. Math.4 (1967), 238–264.

    Article  MATH  MathSciNet  Google Scholar 

  14. Dieudonné, J.,Sur les multiplicateurs des similitudes, Rend. Circ. Mat. Palermo3 (No. 2), (1954), 398–408.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by NSF Grant GP-37508X.

Supported in part by NSF Grant GP-20532 and the Alfred P. Sloan Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Elman, R., Lam, T.Y. Classification theorems for quadratic forms over fields. Commentarii Mathematici Helvetici 49, 373–381 (1974). https://doi.org/10.1007/BF02566738

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566738

Keywords

Navigation