Isotopes of Hurwitz algebras

DOI10.1007/s00009-018-1095-yzbMath1434.17008arXiv1012.1849OpenAlexW1543930881WikidataQ130188693 ScholiaQ130188693MaRDI QIDQ1635746

Erik Darpö

Publication date: 1 June 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.1849

zbMATH Keywords

octonion algebraquaternion algebraisotopeHurwitz algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Composition algebras (17A75) Nonassociative division algebras (17A35)

Related Items (4)

Classification of the finite-dimensional real division composition algebras having a non-abelian derivation algebra ⋮ One-sided isotopes of finite-dimensional algebras ⋮ LDB division algebras ⋮ The isotopically simple algebras with a nil-basis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Autotopies and quasigroup identities: new aspects of non-associative division algebras
• Composition algebras and their automorphisms
• 4-dimensionale Quasikompositionsalgebren
• Finite-dimensional absolute-valued algebras
• On one-sided division infinite-dimensional normed real algebras
• Zur Struktur von Alternativkörpern
• Two-dimensional real division algebras revisited
• The classification of two-dimensional nonassociative algebras
• An approach to finite-dimensional real division composition algebras through reflections
• Non-associative algebras. I: Fundamental concepts and isotopy
• The double sign of a real division algebra of finite dimension greater than one
• CLASSIFICATION, AUTOMORPHISM GROUPS AND CATEGORICAL STRUCTURE OF THE TWO-DIMENSIONAL REAL DIVISION ALGEBRAS
• On flexible composition algebras
• Infinite-Dimensional Quadratic Forms Admitting Composition

This page was built for publication: Isotopes of Hurwitz algebras