Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Daniel Mondoc"'
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
Publikováno v:
Glasgow Mathematical Journal. 53:727-738
In this paper, we discuss a connection between (−1, −1)-Freudenthal–Kantor triple systems, anti-structurable algebras, quasi anti-flexible algebras and give examples of such structures. The paper provides the correspondence and characterization
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25adcffee39c9572d75a5370a9e2622f
https://doi.org/10.1017/s0017089511000371
https://doi.org/10.1017/s0017089511000371
Publikováno v:
Banach Center Publications. 93:59-67
In this paper we give a review on $\delta$-structurable algebras. A connection between Malcev algebras and a generalization of $\delta$-structurable algebras is also given.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f1c90e52a41dab668f7647bc6eda1e5
https://doi.org/10.4064/bc93-0-5
https://doi.org/10.4064/bc93-0-5
Publikováno v:
Bulletin of the Australian Mathematical Society. 81:132-155
In this paper we discuss the simplicity criteria of (−1,−1)-Freudenthal Kantor triple systems and give examples of such triple systems, from which we can construct some Lie superalgebras. We also show that we can associate a Jordan triple system
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db68db630634412821bcc573cbdc76c8
https://doi.org/10.1017/s0004972709000732
https://doi.org/10.1017/s0004972709000732
Compact Exceptional Simple Kantor Triple Systems Defined on Tensor Products of Composition Algebras∗
Autor:
Daniel Mondoc
Publikováno v:
Communications in Algebra. 35:3699-3712
In this article we give the classification of compact exceptional simple Kantor triple systems defined on tensor products of composition algebras A = 1⊗ 2 such that their Kantor algebras ℒ(φ, A) are real forms of exceptional simple Lie a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d112d4594f07b51665e88df8d929c25d
https://doi.org/10.1080/00927870701404739
https://doi.org/10.1080/00927870701404739
Autor:
Daniel Mondoc
Publikováno v:
Journal of Generalized Lie Theory and Applications. 1:29-40
Let A be the realification of the matrix algebra determined by Jordan algebra of hermitian matrices of order three over a complex composition algebra. We define an involutive automorphism on A with a certain action on the triple system obtained from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5aba1116f4d105c34642d0d63e3fb756
https://doi.org/10.4303/jglta/s060103
https://doi.org/10.4303/jglta/s060103
Autor:
Daniel Mondoc
Publikováno v:
Journal of Algebra. 307(2):917-929
In this paper we give by a unified formula the classification of exceptional compact simple Kantor triple systems defined on tensor products of composition algebras corresponding to realifications of exceptional simple Lie algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c959c3360c2e85a72ea3ff70fe44a9d
Autor:
Daniel Mondoc
Publikováno v:
Communications in Algebra. 34:3801-3815
Let (A, (-)) := M(J) be the 2 x 2-matrix algebra determined by Jordan algebra J : = H-3(A) of hermitian 3 x 3-matrices over a real composition algebra A, where (-) is the standard involution on A. ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::529ea9240b817aed92f3d288d834c47a
https://doi.org/10.1080/00927870600862656
https://doi.org/10.1080/00927870600862656
Autor:
Daniel Mondoc
Publikováno v:
Communications in Algebra. 33:549-558
Structurable algebras and models of compact simple kantor triple systems defined on tensor product of composition algebras
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5b1dee5554cfe06daef77cd4757495d
https://doi.org/10.1081/agb-200047437
https://doi.org/10.1081/agb-200047437
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783642553608
In this paper we discuss a Peirce decomposition for unitary \((-1,-1)\)-Freudenthal Kantor triple systems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c450bf5895ef48e267bdf40ce5455831
https://doi.org/10.1007/978-3-642-55361-5_10
https://doi.org/10.1007/978-3-642-55361-5_10
