Characters and a Verlinde-type formula for symmetric Hopf algebras.
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Publication:2378607
DOI10.1016/j.jalgebra.2008.08.025zbMath1178.16031OpenAlexW2007250079MaRDI QIDQ2378607
Publication date: 13 January 2009
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.08.025
semisimple Hopf algebrasFourier transformsintegralsHigman idealsfactorizable ribbon Hopf algebrassymmetric Hopf algebrasVerlinde-type formula
Related Items (15)
The logarithmic Cardy case: boundary states and annuli ⋮ Hochschild cohomology and the modular group ⋮ The monoidal center and the character algebra ⋮ McKay matrices for finite-dimensional Hopf algebras ⋮ Renormalized Hennings invariants and \(2+1\)-TQFTs ⋮ Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms. ⋮ Structure constants related to symmetric Hopf algebras. ⋮ \(\mathrm{SL}(2, \mathbb{Z})\)-action for ribbon quasi-Hopf algebras ⋮ Higher genus mapping class group invariants from factorizable Hopf algebras ⋮ The non-semisimple Verlinde formula and pseudo-trace functions ⋮ Remarks on the derived center of small quantum groups ⋮ Projective objects and the modified trace in factorisable finite tensor categories ⋮ Further results on the structure of (co)ends in finite tensor categories ⋮ Ambidextrous objects and trace functions for nonsemisimple categories ⋮ From Hopf Algebras to Tensor Categories
Cites Work
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- Braided groups and quantum Fourier transform
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- Decomposition of the adjoint representation of the small quantum \(sl_ 2\)
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- On the center of the small quantum group.
- Nonsemisimple fusion algebras and the Verlinde formula
- On fusion categories.
- Über Untergruppen endlicher algebraischer Gruppen
- Central ideals and Cartan invariants of symmetric algebras.
- Semisimple Cosemisimple Hopf Algebras
- On the structure of nonsemisimple Hopf algebras
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