On the congruence problem in infinite dimensional sesquilinear spaces |
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Authors: | Marcel Wild |
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Institution: | (1) Technische Hochschule Darmstadt, Schlossgartenstrasse 7, D-6100 Darmstadt, Germany |
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Abstract: | If two subspaces V and V of a sesquilinear space E are congruent (i.e., there is an isometry : E E with (V)=V) then their corresponding quadratic lattices V(V, E) and V(V, E) are isomorphic. It is shown that the converse holds for important types of sesquilinear spaces E, provided that dim(E) 3. However, the converse generally fails if dim(E) 3. |
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Keywords: | 15A63 08B20 06C05 04A10 |
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