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2008•edoc (University of Basel)Open access

A Generalized Composition of Quadratic Forms based on Quadratic Pairs

Roland Lötscher

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Abstract

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.

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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.

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Available abstract

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.

Key concepts: Quadratic equation, Clifford algebra, Composition (language), Mathematics, ε-quadratic form, Characterization (materials science), Quadratic form (statistics), Isotropic quadratic form

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