The nilpotent generalized near-group fusion-ring conjecture
The nilpotent generalized near-group fusion-ring conjecture
Let be a braided generalized near-group fusion category. Write for the corresponding generalized near-group fusion ring, with , and let be a finite abelian group. Nilpotent generalized near-group fusion-ring conjecture. If is nilpotent, then the Grothendieck ring of is isomorphic to
for some and finite abelian group . The statement gives a proposed classification of the Grothendieck rings of nilpotent braided generalized near-group fusion categories; no resolution is supplied in the source.
Sources & referencesView supporting material
Primary source
Andrew Schopieray, “Irrational braided generalized near-groups”, arXiv:2212.14009 (2022).
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