2010
DOI: 10.1016/j.jalgebra.2010.04.003
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Structurable superalgebras of Cartan type

Abstract: We describe the simple Lie superalgebras arising from the unital structurable superalgebras of characteristic 0 and construct four series of the unital simple structurable superalgebras of Cartan type. We give a classification of simple structurable superalgebras of Cartan type over an algebraically closed field F of characteristic 0. Together with the Faulkner theorem on the classification of classical such superalgebras, it gives a classification of the simple structurable superalgebras over F . Crown

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Cited by 4 publications
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“…Moreover, he found a new class of simple structurable algebras of characteristic zero, missed by Allison. Simple structurable superalgebras over an algebraically closed field of characteristic 0 were described by Faulkner [4] and by Pozhidaev and Shestakov [28].…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, he found a new class of simple structurable algebras of characteristic zero, missed by Allison. Simple structurable superalgebras over an algebraically closed field of characteristic 0 were described by Faulkner [4] and by Pozhidaev and Shestakov [28].…”
Section: Introductionmentioning
confidence: 99%