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composition algebra

noun

Definitions

  1. A non-associative (not necessarily associative) algebra, A, over some field, together…

    A non-associative (not necessarily associative) algebra, A, over some field, together with a nondegenerate quadratic form, N, such that N(xy) = N(x)N(y) for all x, y ∈ A.

    • We call a composition algebra with an associative norm a symmetric composition algebra and denote the full subcategory of #92;mathsf#123;Comp#125;#95;m consisting of symmetric composition algebras by #92;mathsf#123;Scomp#125;#95;m.

The neighborhood

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA