CLASSIFICATION, AUTOMORPHISM GROUPS AND CATEGORICAL STRUCTURE OF THE TWO-DIMENSIONAL REAL DIVISION ALGEBRAS

DOI10.1142/S0219498805001307zbMath1147.17003MaRDI QIDQ3370724

Ernst Dieterich

Publication date: 8 February 2006

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

automorphism groupgroup actionisotopycross-sectionReal division algebra

Mathematics Subject Classification ID

Nonassociative division algebras (17A35)

Related Items (15)

On the classification of rational four-dimensional unital division algebras ⋮ Classification of pairs of rotations in finite-dimensional Euclidean space ⋮ Isotopes of Hurwitz algebras ⋮ The double sign of a real division algebra of finite dimension greater than one ⋮ Four-dimensional real division algebras with few derivations ⋮ Real division algebras with a nontrivial reflection ⋮ Variety of Idempotents in Nonassociative Algebras ⋮ Generalization of the Hopf commutative theorem ⋮ Exhaustive construction of four-dimensional unital division algebras over finite fields with Kleinian automorphism group ⋮ Duplication methods for embeddings of real division algebras ⋮ Ternary derivations of finite-dimensional real division algebras ⋮ The degree of an eight-dimensional real quadratic division algebra is 1, 3, or 5 ⋮ Trace Invariants of Finite-Dimensional Algebras ⋮ Polynomial invariants and moduli of generic two-dimensional commutative algebras ⋮ A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields

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