Turaev group coalgebras and twisted Drinfeld double

DOI10.1512/iumj.2009.58.3569zbMath1177.16020OpenAlexW2052736190MaRDI QIDQ5325399

Shuan-Hong Wang

Publication date: 10 August 2009

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2009.58.3569

zbMATH Keywords

Hopf algebrasCartan dataTuraev group coalgebrastwisted Drinfeld doublesHopf dual pairingsquasitriangular coalgebras

Mathematics Subject Classification ID

Coalgebras and comodules; corings (16T15)

Related Items (16)

Quasitriangular Hopf group-quasialgebras and generalized quantum Yang–Baxter equations ⋮ A new approach to Rota–Baxter coalgebras ⋮ New Turaev braided group categories and weak (co)quasi-Turaev group coalgebras ⋮ Rota-Baxter operators on Turaev's Hopf group (co)algebras. I: Basic definitions and related algebraic structures ⋮ The crossed structure of Hopf bimodules ⋮ Pivotal weak Turaev \(\pi \)-coalgebras ⋮ New Turaev braided group categories and group Schur-Weyl duality. ⋮ Drinfel’d construction for Hom–Hopf T-coalgebras ⋮ Gauge transformations for quasitriangular quasi-Turaev group coalgebras ⋮ New Turaev Braided Group Categories Over Entwining Structures ⋮ Ore extensions of quasitriangular Hopf group coalgebras ⋮ Constructing New Quasitriangular Turaev Group Coalgebras ⋮ Quasitriangular Turaev Group Coalgebras and Radford's Biproduct ⋮ Constructing New BraidedT-Categories Over Regular Multiplier Hopf Algebras ⋮ New Turaev Braided Group Categories and Group Corings Based on Quasi-Hopf Group Coalgebras ⋮ TWISTED DRINFELD DOUBLES AND REPRESENTATIONS OF A HOPF ALGEBRA

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