Finite Quantum Groupoids and Their Applications

Dmitri Nikshych; Leonid Vainerman

Finite Quantum Groupoids and Their Applications

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arxiv math/0006057 v2 pith:Q6YFWJXM submitted 2000-06-07 math.QA math.OA

Dmitri Nikshych , Leonid Vainerman This is my paper · ORCID

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keywords finitequantumapplicationsgroupoidstheoryalgebrasdeformationsdepth

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We give a survey of the theory of finite quantum groupoids (weak Hopf algebras), including foundations of the theory and applications to finite depth subfactors, dynamical deformations of quantum groups, and invariants of knots and 3-manifolds.

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Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry
cond-mat.str-el 2024-12 conditional novelty 6.0 of 10

Anomaly-free fusion category symmetries have a canonical trivial phase, and the three Rep†(D8) symmetry-protected topological phases are explicitly realized by Q-system lattice models connected by an S3 duality.

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