Counting semisimple orbits of finite Lie algebras by genus

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dc.creatorFulman, Jason
dc.date1997-12-12
dc.date1999-05-01
dc.date.accessioned2026-07-07T05:23:25Z
dc.date.available2026-07-07T05:23:25Z
dc.descriptionThe adjoint action of a finite group of Lie type on its Lie algebra is studied. A simple formula is conjectured for the number of split semisimple orbits of a given genus. This conjecture is proved for type A, and partial results are obtained for other types. For type A a probabilistic interpretation is given in terms of card shuffling.
dc.descriptionFinal galley version
dc.identifierhttps://arxiv.org/abs/math/9712246
dc.identifierhttp://arxiv.org/abs/math/9712246
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76425
dc.subjectGroup Theory
dc.subjectCombinatorics
dc.subject20G40;17B45
dc.titleCounting semisimple orbits of finite Lie algebras by genus
dc.typetext

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