Characters and a Verlinde-type formula for symmetric Hopf algebras.

DOI10.1016/j.jalgebra.2008.08.025zbMath1178.16031OpenAlexW2007250079MaRDI QIDQ2378607

Sara Westreich, Miriam Cohen

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

zbMATH Keywords

semisimple Hopf algebrasFourier transformsintegralsHigman idealsfactorizable ribbon Hopf algebrassymmetric Hopf algebrasVerlinde-type formula

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

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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• 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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