Condensing an arbitrary algebra of charges in a quantum double model yields a hypergroup-graded extension of the deconfined excitations category whose domain walls act non-invertibly via a Hopf monad.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Introduces a modified generalized path coalgebra on quivers to characterize when they admit graded coquasi-Hopf structures with dual Chevalley property and applies it to tensor categories.
For finite-dimensional quasi-Hopf algebras, the constructed Heisenberg doubles admit canonical elements satisfying quasi-pentagon and quasi-Hopf equations along with natural inverse-like elements.
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Topological lattice gauge theory enriched by non-invertible symmetry
Condensing an arbitrary algebra of charges in a quantum double model yields a hypergroup-graded extension of the deconfined excitations category whose domain walls act non-invertibly via a Hopf monad.
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A quiver approach to quasi-quantum groups with the Chevalley property
Introduces a modified generalized path coalgebra on quivers to characterize when they admit graded coquasi-Hopf structures with dual Chevalley property and applies it to tensor categories.
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A Quasi-Pentagon Equation for a Heisenberg Double of a Quasi-Hopf Algebra
For finite-dimensional quasi-Hopf algebras, the constructed Heisenberg doubles admit canonical elements satisfying quasi-pentagon and quasi-Hopf equations along with natural inverse-like elements.