On symplectic quandles

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dc.creatorNavas, Esteban Adam
dc.creatorNelson, Sam
dc.date2007-03-24
dc.date2007-09-20
dc.date.accessioned2026-07-07T08:30:57Z
dc.date.available2026-07-07T08:30:57Z
dc.descriptionWe study the structure of symplectic quandles, quandles which are also R-modules equipped with an antisymmetric bilinear form. We show that every finite dimensional symplectic quandle over a finite field F or arbitrary field F of characteristic other than 2 is a disjoint union of a trivial quandle and a connected quandle. We use the module structure of a symplectic quandle over a finite ring to refine and strengthen the quandle counting invariant.
dc.description11 pages. v2: typo corrections suggested by referee. To appear in Osaka J. Math
dc.identifierhttps://arxiv.org/abs/math/0703727
dc.identifierhttp://arxiv.org/abs/math/0703727
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138375
dc.subjectQuantum Algebra
dc.subjectGeometric Topology
dc.subject176D99, 57M27, 55M25
dc.titleOn symplectic quandles
dc.typetext

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