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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References to Chapter III
N. Bourbaki, Formes sesquilinéaires et formes quadratiques. ASI 1272 Hermann Paris (1959).
H. Gross, Formes quadratiques et formes non traciques sur les espaces de dimension dénombrable. Bull. Soc. Math. de France, Mémoire 59 (1979).
I. Kaplansky, Forms in infinite dimensional spaces. An. Acad. Brasil. Ci. 22 (1950) 1–17.
I. Kaplansky, Infinite abelian groups. Univ. of Mich. Press, Ann Arbor, fourth printing 1962.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer Science+Business Media New York
About this chapter
Cite this chapter
Gross, H. (1979). Witt Decompositions for Hermitean אo-Forms. 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_4
Download citation
DOI: https://doi.org/10.1007/978-1-4899-3542-7_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-1111-8
Online ISBN: 978-1-4899-3542-7
eBook Packages: Springer Book Archive