2010/12/31 by Erik Darpö
Chemistry · Mathematics · #Action (physics) #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Class (philosophy) #Computer science #Crystallography #Focus (optics) #Geometry #Homotopy and Cohomology in Algebraic Topology #Isomorphism (crystallography) #Mathematics #Physics #Pure mathematics #Quaternion #math.RA #msc:17A60
paper · pdf · doi:10.1007/s00009-018-1095-y
published as Mediterr. J. Math. (2018) 15: 52 · 11 pages, final version
openalex publication_date 2018/03/06 · arxiv created 2018/08/10 · arxiv updated 2018/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.