New simple Lie superalgebras in characteristic 3
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Publication:2368801
DOI10.1016/j.jalgebra.2005.06.014zbMath1170.17005arXivmath/0412395OpenAlexW2010184661WikidataQ115351629 ScholiaQ115351629MaRDI QIDQ2368801
Publication date: 28 April 2006
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0412395
superalgebrassimple Lie algebrasFreudenthal triple systemsorthogonal triple systemssymplectic triple systems
Exceptional (super)algebras (17B25) Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50) Ternary compositions (17A40)
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Cites Work
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- The magic square and symmetric compositions. II
- Properties of a 29-dimensional simple Lie algebra of characteristic three
- Jordan pairs
- The theory of Lie superalgebras. An introduction
- Models of the octonions and \(G_2\).
- A taste of Jordan algebras
- On the Cartan-Jacobson theorem
- Jordan algebras, exceptional groups, and Bhargava composition
- Toward a definition of a Freudenthal trilinear operation
- Triple products and Yang–Baxter equation. I. Octonionic and quaternionic triple systems
- Certaines algèbres non associatives simples définies par la transvection des formes binaires.
- Models of isotropic simple lie algebras
- On the Freudenthal's construction of exceptional Lie algebras
- SIMPLE $(-1,-1)$ BALANCED FREUDENTHAL KANTOR TRIPLE SYSTEMS
- CONSTRUCTION OF LIE SUPERALGEBRAS $D(2,1;\alpha)$,\$G(3)$ AND $F(4)$ FROM SOME TRIPLE SYSTEMS
- COMPOSITION SUPERALGEBRAS
- A Construction of Lie Algebras from a Class of Ternary Algebras
- A PARAMETRIC FAMILY OF SIMPLE LIE ALGEBRAS
- Strictly Regular Elements in Freudenthal Triple Systems
- Lie superalgebras