Graded Quantum Groups and Quasitriangular Hopf Group-Coalgebras

DOI10.1081/AGB-200066110zbMath1084.16034arXivmath/0312330MaRDI QIDQ5704500

Alexis Virelizier

Publication date: 15 November 2005

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

Full work available at URL: https://arxiv.org/abs/math/0312330

zbMATH Keywords

Drinfeld doublesbraided categoriesquantized enveloping algebrasHopf algebra automorphismsgraded quantum groupshomotopy field theoriesquasitriangular Hopf-group coalgebras

Mathematics Subject Classification ID

Related Items (12)

The crossed structure of Hopf bimodules ⋮ Blattner–Cohen–Montgomery's Duality Theorem for (Weak) Group Smash Products ⋮ Radford's biproducts for Hopf group-coalgebras and its quasitriangular structures. ⋮ The Generalized C.M.Z.-Theorem and a Drinfel'd Double Construction for WT-Coalgebras and Graded Quantum Groupoids ⋮ ON COREPRESENTATION OF HOPF π-COALGEBRAS ⋮ Ore extensions of quasitriangular Hopf group coalgebras ⋮ Constructing New Quasitriangular Turaev Group Coalgebras ⋮ Generalized (anti) Yetter-Drinfeld modules as components of a braided \(T\)-category. ⋮ Quasitriangular Turaev Group Coalgebras and Radford's Biproduct ⋮ The quasitriangular structures for a class of group twisted product Hopf group coalgebras ⋮ A Generalized Drinfeld Quantum Double Construction Based on Weak Hopf Algebras ⋮ Smash Products and π-H-Comodules of Linear Maps for HOPF π-Comodules

Cites Work

• Hopf group-coalgebras
• Double construction for crossed Hopf coalgebras.
• The Group of Automorphisms of a Semisimple Hopf Algebra Over a Field of Characteristic 0 is Finite
• COLORED RIBBON HOPF ALGEBRAS AND UNIVERSAL INVARIANTS OF FRAMED LINKS
• Dual Pairs of Hopf *-Algebras

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