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Witt Decompositions for Hermitean אo-Forms

  • Herbert Gross
Part of the Progress in Mathematics book series (PM, volume 1)

Abstract

Forms are ε-hermitean; if α ⟼ α* is the antiautomorph ism of the underlying division ring we let T := {α + εα*|α ∈ k} be the additive subgroup of “traces” in k. Traces are symmetric elements of k but the converse does not hold when the characteristic is two.

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References to Chapter III

  1. [1]
    N. Bourbaki, Formes sesquilinéaires et formes quadratiques. ASI 1272 Hermann Paris (1959).Google Scholar
  2. [2]
    H. Gross, Formes quadratiques et formes non traciques sur les espaces de dimension dénombrable. Bull. Soc. Math. de France, Mémoire 59 (1979).Google Scholar
  3. [3]
    I. Kaplansky, Forms in infinite dimensional spaces. An. Acad. Brasil. Ci. 22 (1950) 1–17.Google Scholar
  4. [4]
    I. Kaplansky, Infinite abelian groups. Univ. of Mich. Press, Ann Arbor, fourth printing 1962.Google Scholar

Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • Herbert Gross
    • 1
  1. 1.Mathematisches InstitutUniversität ZürichZürichSwitzerland

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