Isotopes of Hurwitz algebras

Details Isotopes of Hurwitz algebras Isotopes of Hurwitz algebras

2010-12-08

arxiv.org/abs/1012.1849v1

Mathematics

Rings and Algebras

9 pages

Scientific paper

We study algebras that are isotopic to Hurwitz algebras. Isomorphism classes of such algebras are shown to correspond to orbits of a certain group action. An explicit, geometrically intutive description of the category of isotopes of Hamilton's quaternions is given. As an application, some known results concerning the classification of finite-dimensional composition algebras are deduced.

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