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math.QA2026★ 2 cited
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 's in multiplicity-free modular fusion categories (MFCs) 's at rank six, namely . There are eight…
math.QA2024
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 's with . We also comment on Lagrangian algebra,…
math.QA2024
Classification of connected étale algebras in pre-modular fusion categories up to rank three
Ken Kikuchi
We classify connected étale algebras 's in pre-modular fusion categories with including degenerate and non-(pseudo-)unitary ones. We…
math.QA2024
Classification of connected étale algebras in multiplicity-free modular fusion categories up to rank nine
Ken Kikuchi
We classify connected étale algebras 's in multiplicity-free modular fusion categories 's with . We also identify categories $\mathcal…