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Communications in Algebra Volume 31, 2003 - Issue 12
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Original Articles

A Peirce Decomposition for Generalized Jordan Triple Systems of Second Order

Issai Kantor Department of Mathematics, Lund University, Lund, Sweden; Department of Mathematics, Lund University, Lund, S-221-00, SwedenCorrespondence[email protected]
&
Noriaki Kamiya Center for Mathematical Sciences, University of Aizu, Aizu, Japan; Center for Mathematical Sciences, University of Aizu, Aizu, 965-8580, JapanCorrespondence[email protected]
Pages 5875-5913 | Received 01 Jul 2002, Published online: 01 Feb 2007

Citations (17)

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Hader A. Elgendy. (2018) The Peirce decomposition for Jordan quadruple systems. Communications in Algebra 46:4, pages 1727-1757.
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Articles from other publishers (16)

Noriaki Kamiya. 2023. Non-Associative Algebras and Related Topics. Non-Associative Algebras and Related Topics 65 79 .
Noriaki Kamiya. (2021) Triality Groups Associated with Triple Systems and their Homotope Algebras. Annales Mathematicae Silesianae 35:2, pages 184-210.
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Diego Aranda-Orna & Alejandra S. Córdova-Martínez. (2021) Fine gradings on Kantor systems of Hurwitz type. Linear Algebra and its Applications 613, pages 201-240.
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Noriaki Kamiya & Daniel Mondoc. (2019) On constructions of Lie (super) algebras and (𝜀,δ)-Freudenthal–Kantor triple systems defined by bilinear forms. Journal of Algebra and Its Applications 19:11, pages 2050223.
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Noriaki Kamiya & Matsuo Sato. (2014) A class of Hermitian generalized Jordan triple systems and Chern–Simons gauge theory. Modern Physics Letters A 29:29, pages 1450156.
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Noriaki Kamiya & Matsuo Sato. (2014) Hermitian generalized Jordan triple systems and certain applications to field theory. International Journal of Modern Physics A 29:13, pages 1450071.
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Noriaki Kamiya & Matsuo Sato. (2014) Hermitian -Freudenthal-Kantor Triple Systems and Certain Applications of * -Generalized Jordan Triple Systems to Field Theory . Advances in High Energy Physics 2014, pages 1-7.
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Noriaki Kamiya, Daniel Mondoc & Susumu Okubo. 2014. Algebra, Geometry and Mathematical Physics. Algebra, Geometry and Mathematical Physics 145 155 .
Noriaki Kamiya, Daniel Mondoc & Susumu Okubo. (2012) On ( ε , δ )-Freudenthal Kantor triple systems and anti-structurable algebras with certain conditions . Journal of Physics: Conference Series 346, pages 012014.
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NORIAKI KAMIYA, DANIEL MONDOC & SUSUMU OKUBO. (2011) A CHARACTERIZATION OF (−1, −1)-FREUDENTHAL–KANTOR TRIPLE SYSTEMS. Glasgow Mathematical Journal 53:3, pages 727-738.
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NORIAKI KAMIYA, DANIEL MONDOC & SUSUMU OKUBO. (2009) A STRUCTURE THEORY OF (−1,−1)-FREUDENTHAL KANTOR TRIPLE SYSTEMS. Bulletin of the Australian Mathematical Society 81:1, pages 132-155.
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Noriaki Kamiya & Daniel Mondoc. (2009) On anti-structurable algebras and extended Dynkin diagrams. Journal of Generalized Lie Theory and Applications 3, pages 183-190.
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Noriaki Kamiya & Daniel Mondoc. (2008) A new class of nonassociative algebras with involution. Proceedings of the Japan Academy, Series A, Mathematical Sciences 84:5.
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Noriaki Kamiya & Susumu Okubo. (2008) On triple systems and extended Dynkin diagrams of Lie superalgebras. Journal of Generalized Lie Theory and Applications 2:3, pages 185-189.
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Noriaki Kamiya. (2008) A Peirce decomposition for (-1,-1)-Freudenthal-Kantor triple systems. Journal of Generalized Lie Theory and Applications 2, pages 273-285.
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Issai Kantor & Louis Rowen. (2007) The Peirce decomposition for generalized Jordan triple systems of finite order. Journal of Algebra 310:2, pages 829-857.
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