Abstract
We study modules over quandles and classify irreducible quandle modules. The main result of this paper states that there is a correspondence between irreducible modules over a quandle and irreducible modules over certain groups: more specifically, irreducible modules over the fundamental group of and nontrivial irreducible modules over the associated group . As an application, we classify irreducible modules over generalized dihedral quandles, the quandles obtained from generalized dihedral groups, and connected quandles in where denotes the finite field of elements.
Citation
Kosuke Uematsu. "On classification of irreducible quandle modules over a connected quandle." Hiroshima Math. J. 53 (1) 27 - 61, March 2023. https://doi.org/10.32917/h2021056
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