Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Kamiya Noriaki"'
Autor:
Kamiya Noriaki
Publikováno v:
Annales Mathematicae Silesianae, Vol 35, Iss 2, Pp 184-210 (2021)
We introduce the notion of an (α, β, γ) triple system, which generalizes the familiar generalized Jordan triple system related to a construction of simple Lie algebras. We then discuss its realization by considering some bilinear algebras and vice
Externí odkaz:
https://doaj.org/article/77e8696922124110a400171a1d9971f4
Autor:
Kamiya Noriaki
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 20, Iss 2, Pp 43-58 (2012)
In this paper, we show that geometric phenomena can be charac- terized using the concept of triple systems. In particular, we study a complex structure associated with triple systems
Externí odkaz:
https://doaj.org/article/ef9cfab3888c48dd9306d216ee05fdec
Autor:
Kamiya, Noriaki, Okubo, Susumu
This paper is to study for local triality relations and ist global relations That is, this is a generalization of automorhisms and derivations.
Comment: 38pages
Comment: 38pages
Externí odkaz:
http://arxiv.org/abs/1609.05892
Autor:
Kamiya, Noriaki, Shibukawa, Youichi
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-sets give birth to dynamical Yang-Baxter maps, set-theoretic solution
Externí odkaz:
http://arxiv.org/abs/1606.02789
Autor:
Kamiya, Noriaki, Okubo, Susumu
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 4-objects) symmetry of the Lie algebras.
Comment: 62 pages
Comment: 62 pages
Externí odkaz:
http://arxiv.org/abs/1503.00614
Autor:
Kamiya, Noriaki, Sato, Matsuo
We find a class of hermitian generalized Jordan triple systems (HGJTSs) and hermitian $(\epsilon, \delta)$-Freudenthal-Kantor triple systems (HFKTSs). We apply one of the most simple HGJTSs which we find to a field theory, and obtain a typical u(N) C
Externí odkaz:
http://arxiv.org/abs/1403.6999
Autor:
Kamiya, Noriaki, Okubo, Susumu
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 triality.
Comment: 19 pages, to be submitted to Linear Algebra and
Comment: 19 pages, to be submitted to Linear Algebra and
Externí odkaz:
http://arxiv.org/abs/1310.2568
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-Kantor triple systems. Some consequences for the associated 5-graded Li
Externí odkaz:
http://arxiv.org/abs/1205.2489
A noncommutative Jordan algebra of a specific type is attached to any (-1,-1)-balanced Freudenthal Kantor triple system, in such a way that the triple product in this system is determined by the binary product in the algebra. Over fields of character
Externí odkaz:
http://arxiv.org/abs/math/0404550
Autor:
Kantor, Issai, Kamiya, Noriaki
A tripotent of a generalized triple system of second order defines a decomposition of the space of the space which consist of 10 components. It gives a generalization of the Peirce decomposition n for the Jordan triple system which consists in genera
Externí odkaz:
http://arxiv.org/abs/math/0206238