4 citations · 8 across the 9 of their papers we have counts for
9 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.
Dynamical Yang-Baxter maps and Hopf algebroids associated with s-sets
Noriaki Kamiya, Youichi Shibukawa
An s-set is an algebraic generalization of the regular s-manifold introduced by Kowalski, one of the generalized symmetric spaces in differential geometry. We prove that suitable s…
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…
A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory
Noriaki Kamiya, Matsuo Sato
We find a class of hermitian generalized Jordan triple systems (HGJTSs) and hermitian -Freudenthal-Kantor triple systems (HFKTSs). We apply one of the most simple HGJTSs wh…
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…
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…