The double sign of a real division algebra of finite dimension greater than one

DOI10.1002/mana.201100189zbMath1326.17001arXiv1110.2572OpenAlexW1976856534MaRDI QIDQ2920086

Erik Darpö, Ernst Dieterich

Publication date: 23 October 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2572

zbMATH Keywords

groupoidblock decompositionreal division algebradouble sign

Mathematics Subject Classification ID

Nonassociative division algebras (17A35)

Related Items (4)

Isotopes of Hurwitz algebras ⋮ Classification of the finite-dimensional real division composition algebras having a non-abelian derivation algebra ⋮ Corestricted group actions and eight-dimensional absolute valued algebras ⋮ An approach to finite-dimensional real division composition algebras through reflections

Cites Work

• Linear algebras with associativity not assumed
• Ein topologischer Beitrag zur reellen Algebra
• Absolute valued real algebras
• Non-associative algebras. I: Fundamental concepts and isotopy
• ON THE CLASSIFICATION OF $4$ -DIMENSIONAL QUADRATIC DIVISION ALGEBRAS OVER SQUARE-ORDERED FIELDS
• On the parallelizability of the spheres
• NON-PARALLELIZABILITY OF THE n-SPHERE FOR n > 7
• CLASSIFICATION, AUTOMORPHISM GROUPS AND CATEGORICAL STRUCTURE OF THE TWO-DIMENSIONAL REAL DIVISION ALGEBRAS
• On composition and absolute-valued algebras

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