Ken Kikuchi

most citedClassification of connected étale algebras in multiplicity-free modular fusion categories up to rank nine

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math.QA2024★ 2 cited

Classification of connected étale algebras in multiplicity-free modular fusion categories up to rank nine

Ken Kikuchi

We classify connected étale algebras $A$ 's in multiplicity-free modular fusion categories $B$ 's with $rank (B) \leq 9$ . We also identify categories $\mathcal B…

math.QA2024

Classification of connected étale algebras in multiplicity-free modular fusion categories at rank six

Ken Kikuchi, Kah-Sen Kam, Fu-Hsiang Huang

We classify connected étale algebras $A$ 's in multiplicity-free modular fusion categories (MFCs) $B$ 's at rank six, namely $rank (B) = 6$ . There are eight M…

math.QA2023

Classification of connected étale algebras in modular fusion categories up to rank five

Ken Kikuchi

We classify connected étale algebras in (possibly non-unitary) modular fusion categories $B$ 's with $rank (B) \leq 5$ . We also comment on Lagrangian algebra, a…

math.QA2023

Classification of connected étale algebras in pre-modular fusion categories up to rank three

Ken Kikuchi

We classify connected étale algebras $A$ 's in pre-modular fusion categories $B$ with $rank (B) \leq 3$ including degenerate and non-(pseudo-)unitary ones. We c…