×

On a special group of isometries of an infinite dimensional vectorspace. (English) Zbl 0112.02401


Keywords:

group theory
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] M. Eichler, Quadratische Formen und orthogonale Gruppen, Berlin 1952 (Chapter 1).
[2] LetF be a finite dimensional, non-singular vectorspace,F 1 andF 2 two subspaces ofF of the same dimension. A necessary and sufficient condition that there exists an orthogonal transformation ofF 1 ontoF 2 is that the restrictions of the metric form onF toF 1 andF 2 are equivalent. See e.g.J. Dieudonné, Sur les groupes classiques. Paris 1958 (18).
[3] See e.g.J. Dieudonné, loc. cit. (23).
[4] See e.g.C. C. Chevalley, The Algebraic Theory of Spinors, New York 1955 (38).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.