Abstract
The fields k admitted in this chapter are the same as those of Chapter Twelve but with the additional proviso that ko is archimedean ordered. (E, Φ) will be a non degenerate hermitean space of dimension אo which is weakly universal and has l ∈||Φ||. In contrast to Chapter Twelve the space (E, Φ) is not assumed to be positive definite.
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References to Chapter XIII
E. Artin, Geometric Algebra, Interscience Publ. NY (1957).
F. van der Blij, History of the octaves in Simon Slevin, Wisen Natuurkundig Tijdschrift (Groningen) 34e Jaargang Avlevering III Februari 1961.
W. Greub, Multilinear Algebra, Springer Verlag NY (1967).
H. Gross, Eine Bemerkung zu dichten Unterräumen reeller quadratischer Räume. Comment. Math. Helv. 45, 472–493 (1970).
T.Y. Lam, The Algebraic Theory of Quadratic Forms, Benjamin, Inc. Reading (Mass) 1973.
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Gross, H. (1979). Classification of ⊥-Dense Subspaces with Definite 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_14
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DOI: https://doi.org/10.1007/978-1-4899-3542-7_14
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-1111-8
Online ISBN: 978-1-4899-3542-7
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