Simple Lie superalgebras and nonintegrable distributions in characteristic p

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dc.creatorBouarroudj, Sofiane
dc.creatorLeites, Dimitry
dc.date2006-06-27
dc.date.accessioned2026-07-07T08:38:57Z
dc.date.available2026-07-07T08:38:57Z
dc.descriptionRecently, Grozman and Leites returned to the original Cartan's description of Lie algebras to interpret the Melikyan algebras (for p<7) and several other little-known simple Lie algebras over algebraically closed fields for p=3 as subalgebras of Lie algebras of vector fields preserving nonintegrable distributions analogous to (or identical with) those preserved by G(2), O(7), Sp(4) and Sp(10). The description was performed in terms of Cartan-Tanaka-Shchepochkina prolongs using Shchepochkina's algorithm and with the help of SuperLie package. Grozman and Leites also found two new series of simple Lie algebras. Here we apply the same method to distributions preserved by one of the two exceptional simple finite dimensional Lie superalgebras over C; for p=3, we obtain a series of new simple Lie superalgebras and an exceptional one.
dc.description10 pages; no figures
dc.identifierhttps://arxiv.org/abs/math/0606682
dc.identifierhttp://arxiv.org/abs/math/0606682
dc.identifierZapiski nauchnyh seminarov POMI. No. 331, (2006), 15-29. Cover-to-cover translated/reprinted by Journal of Mathematical Sciences, 141, no. 4, (2007), 1390-1398
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140917
dc.subjectRepresentation Theory
dc.subject17B50; 70F25
dc.titleSimple Lie superalgebras and nonintegrable distributions in characteristic p
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