Unital composition algebras in Ver_4^+ are exactly the classical Hurwitz algebras or one of two new families U(λ), U(λ,ν) of dimensions 2 and 4.
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Composition algebras in symmetric tensor categories
Unital composition algebras in Ver_4^+ are exactly the classical Hurwitz algebras or one of two new families U(λ), U(λ,ν) of dimensions 2 and 4.