SIMPLE BALANCED FREUDENTHAL KANTOR TRIPLE SYSTEMS

ALBERTO ELDUQUE; NORIAKI KAMIYA; SUSUMU OKUBO

doi:10.1017/S0017089503001290

Abstract

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The simple finite dimensional $(-1,-1)$ balanced Freudenthal Kantor triple systems over fields of characteristic zero are classified.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Kamiya, Noriaki and Okubo, Susumu 2004. A construction of simple Lie subalgebras of certain types from triple systems. Bulletin of the Australian Mathematical Society, Vol. 69, Issue. 1, p. 113.

Elduque, Alberto Kamiya, Noriaki and Okubo, Susumu 2005. (−1,−1)-Balanced Freudenthal Kantor triple systems and noncommutative Jordan algebras. Journal of Algebra, Vol. 294, Issue. 1, p. 19.

Elduque, Alberto 2006. New simple Lie superalgebras in characteristic 3. Journal of Algebra, Vol. 296, Issue. 1, p. 196.

Cunha, Isabel and Elduque, Alberto 2007. The extended Freudenthal Magic Square and Jordan algebras. manuscripta mathematica, Vol. 123, Issue. 3, p. 325.

Kamiya, Noriaki and Mondoc, Daniel 2008. A new class of nonassociative algebras with involution. Proceedings of the Japan Academy, Series A, Mathematical Sciences, Vol. 84, Issue. 5,

Kamiya, Noriaki 2008. A Peirce decomposition for (-1,-1)-Freudenthal-Kantor triple systems. Journal of Generalized Lie Theory and Applications, Vol. 2, Issue. , p. 273.

Kamiya, Noriaki and Okubo, Susumu 2008. On triple systems and extended Dynkin diagrams of Lie superalgebras. Journal of Generalized Lie Theory and Applications, Vol. 2, Issue. 3, p. 185.

Kamiya, Noriaki and Mondoc, Daniel 2009. On anti-structurable algebras and extended Dynkin diagrams. Journal of Generalized Lie Theory and Applications, Vol. 3, Issue. , p. 183.

Kamiya, Noriaki and Okubo, Susumu 2010. Representations of (α, β, γ) triple system. Linear and Multilinear Algebra, Vol. 58, Issue. 5, p. 617.

KAMIYA, NORIAKI MONDOC, DANIEL and OKUBO, SUSUMU 2010. A STRUCTURE THEORY OF (−1,−1)-FREUDENTHAL KANTOR TRIPLE SYSTEMS. Bulletin of the Australian Mathematical Society, Vol. 81, Issue. 1, p. 132.

KAMIYA, NORIAKI MONDOC, DANIEL and OKUBO, SUSUMU 2011. A CHARACTERIZATION OF (−1, −1)-FREUDENTHAL–KANTOR TRIPLE SYSTEMS. Glasgow Mathematical Journal, Vol. 53, Issue. 3, p. 727.

Benito, Pilar Elduque, Alberto and Martín-Herce, Fabián 2011. Irreducible Lie–Yamaguti algebras of generic type. Journal of Pure and Applied Algebra, Vol. 215, Issue. 2, p. 108.

Kamiya, Noriaki Mondoc, Daniel and Okubo, Susumu 2012. On (ε,δ)-Freudenthal Kantor triple systems and anti-structurable algebras with certain conditions. Journal of Physics: Conference Series, Vol. 346, Issue. , p. 012014.

Kamiya, Noriaki Mondoc, Daniel and Okubo, Susumu 2014. Algebra, Geometry and Mathematical Physics. Vol. 85, Issue. , p. 145.

Kamiya, Noriaki and Mondoc, Daniel 2020. On constructions of Lie (super) algebras and (𝜀,δ)-Freudenthal–Kantor triple systems defined by bilinear forms. Journal of Algebra and Its Applications, Vol. 19, Issue. 11, p. 2050223.

Kamiya, Noriaki 2023. Non-Associative Algebras and Related Topics. Vol. 427, Issue. , p. 65.

Article contents

SIMPLE $(-1,-1)$ BALANCED FREUDENTHAL KANTOR TRIPLE SYSTEMS

Abstract

Keywords

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

SIMPLE $(-1,-1)$ BALANCED FREUDENTHAL KANTOR TRIPLE SYSTEMS

Abstract

Keywords

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