Bosonization for dual quasi-bialgebras and preantipode.

DOI10.1016/j.jalgebra.2013.05.014zbMath1301.16039arXiv1111.4325OpenAlexW2964315338MaRDI QIDQ2437945

Alessandro Ardizzoni, Alice Pavarin

Publication date: 10 March 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4325

zbMATH Keywords

tensor productsbosonizationsYetter-Drinfeld modulesgraded coalgebrasdual quasi-Hopf algebraspreantipodesdual quasi-bialgebras

Mathematics Subject Classification ID

Smash products of general Hopf actions (16S40) Bialgebras (16T10) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items

Finite quasi-quantum groups over abelian groups ⋮ Quasi-quantum planes and quasi-quantum groups of dimension $p^3$ and $p^4$ ⋮ Pointed finite tensor categories over abelian groups ⋮ On the structure theorem for quasi-Hopf bimodules ⋮ Finite quasi-quantum groups of diagonal type ⋮ Coquasi-bialgebras with preantipode and rigid monoidal categories ⋮ Antipodes, preantipodes and Frobenius functors ⋮ Finite quasi-quantum groups of rank two ⋮ Quantum lines for dual quasi-bialgebras.

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