Subspaces in Non-Trace-Valued Spaces

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


All spaces considered in this chapter are of denumerable dimension and ε-hermitean over a field k of characteristic 2 equipped with an antiautomorphism ξ ⟼ ξ*. with k is associated the k-vector space S/T (S≔ {α ∈ k|α = εα*} and T ≔ {α + εα*|α ∈ k} the additive subgroups in k of symmetric elements and traces respectively); φ: E → S/T is the k-vector space homomorphism which sends x ∈ E into the coset Φ(x, x) + T. It is invariably assumed in this chapter that


Orthogonal Basis Division Ring Hyperbolic Plane Isotropic Subspace Lattice Homomorphism 
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References to Chapter VIII

  1. [1]
    H. Gross, Formes quadratiques et formes non traciques sur les espaces de dimension dénombrable. Bull. Soc. Math. de France Mémoire 59 (1979).Google Scholar
  2. [2]
    H. Gross and H.A. Keller, On the non trace — valued forms. To appear in Adv. in Math.Google Scholar
  3. [3]
    R. Moresi, Studio su uno speciale reticolo consistente in sottospazi di uno spazio sesquilineare nel caso caratteristica due. Master’s Thesis, Univ. of Zurich 1977.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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