Structurable algebras of skew-dimension one and hermitian cubic norm structures

DOI10.1080/00927872.2018.1468905zbMath1473.17088arXiv1705.11019OpenAlexW2963236893WikidataQ128563979 ScholiaQ128563979MaRDI QIDQ4634070

Tom De Medts

Publication date: 7 May 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.11019

zbMATH Keywords

structurable algebrasisotopiesCayley-Dickson processcubic norm structures

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Jordan structures associated with other structures (17C50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Other nonassociative rings and algebras (17D99)

Related Items

Real simple symplectic triple systems, Cubic Action of a Rank one Group, Similitude exceptional theta correspondences

Cites Work

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• Outer automorphisms of algebraic groups and a Skolem-Noether theorem for Albert algebras
• A class of nonassociative algebras with involution containing the class of Jordan algebras
• A taste of Jordan algebras
• Simple and semisimple structurable algebras
• A Cayley-Dickson Process for a Class of Structurable Algebras
• Simple structurable algebras of skew-dimension one
• Structurable Tori
• Models of isotropic simple lie algebras
• Rational Constructions of Modules for Simple Lie Algebras
• Normson structurable algebras
• Moufang Sets and Structurable Division Algebras
• A NEW TYPE OF NON ASSOCIATIVE ALGEBRAS
• The Freudenthal-Springer-Tits Constructions of Exceptional Jordan Algebras