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Structurable algebras of skew-dimension one and hermitian cubic norm structures
2019
Communications in Algebra
We study structurable algebras of skew-dimension one. We present two different equivalent constructions for such algebras: one in terms of nonlinear isotopies of cubic norm structures, and one in terms of hermitian cubic norm structures. After this work was essentially finished, we became aware of the fact that both descriptions already occur in (somewhat hidden places in) the literature. Nevertheless, we prove some facts that had not been noticed before: (1) We show that every form of a matrix
doi:10.1080/00927872.2018.1468905
fatcat:oygctzeur5grxevkej4wflpjkm