Zobrazeno 1 - 10
of 109
pro vyhledávání: '"Noriaki Kamiya"'
Publikováno v:
Algebras, Groups & Geometries; Dec2023, Vol. 39 Issue 2, p263-277, 15p
Autor:
Noriaki Kamiya
Publikováno v:
Algebras Groups and Geometries. 38:159-184
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a80460c130e4e477ee4309ad92150147
https://doi.org/10.29083/agg.38.02.2022/sc159
https://doi.org/10.29083/agg.38.02.2022/sc159
Autor:
Noriaki Kamiya
Publikováno v:
Algebras, Groups & Geometries; Jun2023, Vol. 39 Issue 1, p127-147, 21p
Autor:
Noriaki Kamiya
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://explore.openaire.eu/search/publication?articleId=doi_dedup___::edf67059aeb0767dff13c893ec020d96
https://doi.org/10.2478/amsil-2021-0001
https://doi.org/10.2478/amsil-2021-0001
Autor:
Noriaki Kamiya, Matsuo Sato
Publikováno v:
Advances in High Energy Physics, Vol 2014 (2014)
We define Hermitian (ϵ,δ)-Freudenthal-Kantor triple systems and prove a structure theorem. We also give some examples of triple systems that are generalizations of the u(N)⊕u(M) and sp(2N)⊕u(1) Hermitian 3-algebras. We apply a *-generalized Jor
Externí odkaz:
https://doaj.org/article/81c103bed0da43bb95e1ee4c92daf9bd
Autor:
Susumu Okubo, Noriaki Kamiya
Publikováno v:
Nonassociative algebra and its applications
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::70cf2d672c02788ba030880fe31432de
https://doi.org/10.1201/9780429187674-14
https://doi.org/10.1201/9780429187674-14
Autor:
Susumu Okubo, Noriaki Kamiya
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 59:169-192
Symmetry groups of Lie algebras and superalgebras constructed from (∈, δ)-Freudenthal-Kantor triple systems have been studied. In particular, for a special (ε, ε)-Freudenthal–Kantor triple, it is the SL(2) group. Also, the relationship between
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da2f292874fd4d7c4136b93ee0b7d6da
https://doi.org/10.1017/s0013091514000406
https://doi.org/10.1017/s0013091514000406
Autor:
Susumu Okubo, Noriaki Kamiya
Publikováno v:
Journal of Algebra. 416:58-83
We introduce a notion of pre-structurable algebras based on the structurable algebra of Allison, as well as Lie algebras that satisfy triality.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b3f9929681e0a7d970544b87a0865bd9
https://doi.org/10.1016/j.jalgebra.2014.06.012
https://doi.org/10.1016/j.jalgebra.2014.06.012
Autor:
Daniel Mondoc, Noriaki Kamiya
Publikováno v:
Journal of Algebra and Its Applications. 19:2050223
In this work, we discuss a classification of [Formula: see text]-Freudenthal–Kantor triple systems defined by bilinear forms and give all examples of such triple systems. From these results, we may see a construction of some simple Lie algebras or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe18f1ec932cbe08a207028577a9924c
https://doi.org/10.1142/s0219498820502230
https://doi.org/10.1142/s0219498820502230
Autor:
Noriaki Kamiya
Publikováno v:
Analele Universitatii "Ovidius" Constanta - Seria Matematica. 20:43-58
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://explore.openaire.eu/search/publication?articleId=doi_________::a5a98148d7c6b91548e7bb81fde2f876
https://doi.org/10.2478/v10309-012-0039-y
https://doi.org/10.2478/v10309-012-0039-y