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Classification of ⊥-Dense Subspaces with Definite Forms

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

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 1 ∈ ‖Φ‖ . In contrast to Chapter Twelve the space (E,Φ) is not assumed to be positive definite.

Keywords

Orthonormal Basis Standard Basis Orthogonal Group Dense Subspace Isotropic Subspace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References to Chapter XIII

  1. [1]
    E. Artin, Geometric Algebra, Interscience Publ. NY (1957).Google Scholar
  2. [2]
    F. van der Blij, History of the octaves in Simon Slevin, Wis-en Natuurkundig Tijdschrift (Groningen) 34e Jaargang Avlevering III Februari 1961.Google Scholar
  3. [3]
    W. Greub, Multilinear Algebra, Springer Verlag NY (1967).Google Scholar
  4. [4]
    H. Gross, Eine Bemerkung zu dichten Unterräumen reeller quadratischer Räume. Comment. Math. Helv. 45, 472–493 (1970).MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    T.Y. Lam, The Algebraic Theory of Quadratic Forms, Benjamin, Inc. Reading (Mass ) 1973.zbMATHGoogle 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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