69 citations · 175 across the 25 of their papers we have counts for
25 papers
A triality Group of nonassociative algebras with involution
Noriaki Kamiya, Susumu Okubo
This paper is to study for local triality relations and ist global relations That is, this is a generalization of automorhisms and derivations.
Algebras Satisfying Triality and S_4-symmetry
Noriaki Kamiya, Susumu Okubo
We give a review of recent works for non-associative algebras, especially Lie algebras satisfying the triality relation. They are also intimately related to S_4 (symmetric group of…
Triality, Structurable and Pre-structurable Algebras
Noriaki Kamiya, Susumu Okubo
We introduce a notion of Pre-structurable Algebras based upon triality relations and study its relation to structurable algebra of Allison, as well as to Lie algebras satisfying tr…
Symmetry of Lie algebras associated with (ε,δ) Freudenthal-Kantor triple systems
Noriaki Kaymiya, Susumu Okubo
Symmetry group of Lie algebras and superalgebras constructed from (ε,δ) Freudenthal- Kantor triple systems has been studied. Especially, for a special (ε,ε) Freudenthal- Kantor tri…
Left unital Kantor triple systems and structurable algebras
Alberto Elduque, Noriaki Kamiya, Susumu Okubo
Left unital Kantor triple systems will be shown to correspond to structurable algebras endowed with an involutive automorphism. A related result is proved for (-1,-1) Freudenthal-K…
Special Freudenthal-Kantor triple systems and Lie algebras with dicyclic symmetry
Alberto Elduque, Susumu Okubo
Lie algebras endowed with an action by automorphisms of the dicyclic group of degree 3 are considered. The close connections of these algebras with Lie algebras graded over the non…