Quasitriangular and Ribbon Quasi-Hopf Algebras

DOI10.1081/AGB-120017337zbMath1029.16021MaRDI QIDQ4801388

Erna Nauwelaerts, Daniel Bulacu

Publication date: 7 April 2003

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

zbMATH Keywords

invertible elementsquasitriangular quasi-Hopf algebrasribbon quasi-Hopf algebrasbijectivity of antipodesinvertibility of \(R\)-matrices

Mathematics Subject Classification ID

Related Items (12)

Factorizable quasi-Hopf algebras -- applications. ⋮ Involutory quasi-Hopf algebras. ⋮ On integrals and cointegrals for quasi-Hopf algebras. ⋮ \(\mathrm{SL}(2, \mathbb{Z})\)-action for ribbon quasi-Hopf algebras ⋮ The antipode of a quasitriangular quasi-Turaev group coalgebra is bijective ⋮ Quasi-quantum groups obtained from the Tannaka-Krein reconstruction theorem ⋮ The representation-theoretic rank of the doubles of quasi-quantum groups. ⋮ Quasi-quantum groups obtained from tensor braided Hopf algebras ⋮ On sovereign, balanced and ribbon quasi-Hopf algebras ⋮ Radford's biproduct for quasi-Hopf algebras and bosonization ⋮ Unnamed Item ⋮ Some ribbon elements for the quasi-Hopf algebra Dω(H)

Cites Work

• On the antipode of a quasitriangular Hopf algebra
• Quasi-quantum groups, knots, three-manifolds, and topological field theory
• Doubles of quasi-quantum groups
• Radford's biproduct for quasi-Hopf algebras and bosonization

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