A Generalized Composition of Quadratic Forms based on Quadratic Pairs

Details A Generalized Composition of Quadratic Forms based on Quadratic Pairs A Generalized Composition of Quadratic Forms based on Quadratic Pairs

2008-09-24

arxiv.org/abs/0809.4123v1

Mathematics

Commutative Algebra

22 pages

Scientific paper

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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