Abstract
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
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References to Chapter VIII
H. Gross, Formes quadratiques et formes non traciques sur les espaces de dimension dénombrable. Bull. Soc. Math. de France Mémoire 59 (1979).
H. Gross and H.A. Keller, On the non trace — valued forms. To appear in Adv. in Math.
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.
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Gross, H. (1979). Subspaces in Non-Trace-Valued Spaces. In: Quadratic Forms in Infinite Dimensional Vector Spaces. Progress in Mathematics, vol 1. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-3542-7_9
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DOI: https://doi.org/10.1007/978-1-4899-3542-7_9
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-1111-8
Online ISBN: 978-1-4899-3542-7
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