Existence of integrals for finite dimensional quasi-Hopf algebras

zbMath0972.16020MaRDI QIDQ1580691

Florin Panaite, Freddy M. J. van Oystaeyen

Publication date: 23 July 2001

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

zbMATH Keywords

Hopf algebrasexistenceintegralsquasi-Hopf algebras

Mathematics Subject Classification ID

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The antipode of a dual quasi-Hopf algebra with nonzero integrals is bijective. ⋮ Integral theory for Hopf algebroids. ⋮ Integrals for (dual) quasi-Hopf algebras. Applications ⋮ \(\mathrm{SL}(2, \mathbb{Z})\)-action for ribbon quasi-Hopf algebras ⋮ The representation-theoretic rank of the doubles of quasi-quantum groups. ⋮ Central invariants and Frobenius-Schur indicators for semisimple quasi-Hopf algebras. ⋮ An approach to quasi-Hopf algebras via Frobenius coordinates.