On symplectic quandles

@inproceedings{Navas2007OnSQ,
  title={On symplectic quandles},
  author={Esteban Navas and Sam Nelson},
  year={2007}
}
  • Esteban Navas, Sam Nelson
  • Published 2007
  • Mathematics
  • We 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. 

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