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math.RA2004
New simple Lie superalgebras in characteristic 3
Alberto Elduque
Symplectic (respectively orthogonal) triple systems provide constructions of Lie algebras (resp. superalgebras). However, in characteristic 3, it is shown that this role can be int…
math.RA2004★ 3 cited
(-1,-1)-Balanced Freudenthal Kantor triple systems and noncommutative Jordan algebras
Alberto Elduque, Noriaki Kamiya, Susumu Okubo
A noncommutative Jordan algebra of a specific type is attached to any (-1,-1)-balanced Freudenthal Kantor triple system, in such a way that the triple product in this system is det…