Crossed modules, quantum braided groups, and ribbon structures

DOI10.1007/BF02065863zbMath0864.16032MaRDI QIDQ1920637

Yu. N. Bespalov

Publication date: 15 April 1997

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

crossed productsribbon categoriesbraided categoriestransmutationsbraided Hopf algebrascomultiplicationsribbon Hopf algebrasbraided quantum groups

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Braid groups; Artin groups (20F36)

Related Items

THE NICHOLS ALGEBRA OF SCREENINGS, Hopf (bi-)modules and crossed modules in braided monoidal categories, Fusion in the entwined category of Yetter-Drinfeld modules of a rank-1 Nichols algebra, Representations of U¯qsℓ(2|1) at even roots of unity, Relative Yetter-Drinfeld modules and comodules over braided groups, Partially dualized Hopf algebras have equivalent Yetter-Drinfel'd modules.

Cites Work

• Unnamed Item
• The structure of Hopf algebras with a projection
• Braided groups and algebraic quantum field theories
• Cross products by braided groups and bosonization
• Braided tensor categories
• Ribbon graphs and their invariants derived from quantum groups
• Braided compact closed categories with applications to low dimensional topology
• Quantum groups and representations of monoidal categories
• Combinatorial homotopy. II