A Generalized Composition of Quadratic Forms based on Quadratic Pairs

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Lötscher, Roland
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Abstract
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For quadratic spaces which represent 1 there is a characterization of hermitian compositions in the language of algebras-with-involutions using the even Clifford algebra. We extend this notion to define a generalized composition based on quadratic pairs and determine the degrees of minimal compositions for any given quadratic pair.
Comment: 22 pages
Keywords
Mathematics - Commutative Algebra, Mathematics - Rings and Algebras
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