Finite-dimensional absolute-valued algebras

DOI10.1007/s11856-011-0065-xzbMath1290.17002OpenAlexW2072982803MaRDI QIDQ1758908

María Isabel Ramírez Alvarez, Cándido Martín González, Antonio Jesús Calderón Martín, El Amin Mokhtar Kaidi, Antonio Morales Campoy

Publication date: 19 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11856-011-0065-x

zbMATH Keywords

idempotentdivision algebraabsolute-valued algebraisometric linear map

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Composition algebras (17A75) Other nonassociative rings and algebras (17D99) Valued algebras (17A80)

Related Items

Isotopes of Hurwitz algebras ⋮ Classification of the finite-dimensional real division composition algebras having a non-abelian derivation algebra ⋮ Algebraic extensions of some results by Yang ⋮ Four-dimensional real division algebras with few derivations ⋮ Real division algebras with a nontrivial reflection ⋮ Duplication methods for embeddings of real division algebras ⋮ Corestricted group actions and eight-dimensional absolute valued algebras ⋮ On absolute-valued algebras satisfying \((x^2,y,x^2)=0\) ⋮ An approach to finite-dimensional real division composition algebras through reflections

Cites Work

• Classification of the finite dimensional absolute valued algebras having a non-zero central idempotent or a one-sided unity
• Composition algebras with large derivation algebras
• Eight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivial
• One-sided division absolute valued algebras
• Two-graded absolute valued algebras
• Absolute valued real algebras
• Absolute Valued Algebras with Involution
• Absolute values on h^∗-algebras
• Composition algebras with associative bilinear form
• Absolute-Valued Algebras
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