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arXiv · 1012.1849

Isotopes of Hurwitz algebras

Erik Darpö
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Abstract

We study the class of all algebras that are isotopic to a Hurwitz algebra. Isomorphism classes of such algebras are shown to correspond to orbits of a certain group action. A complete, geometrically intuitive description of the category of isotopes of Hamilton's quaternions is given. As an application, we demonstrate how some results concerning the classification of finite-dimensional composition algebras can be deduced from our general results.

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Erik Darpö. 2018-08-10. Isotopes of Hurwitz algebras. https://doi.org/10.1007/s00009-018-1095-y

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