Extending lazy 2-cocycles on Hopf algebras and lifting projective representations afforded by them

2004/12/21 by Juan Cuadra, Florin Panaite, Cuadra, Juan +1
Mathematics · #16W30 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:16W30

paper · pdf · doi:10.48550/arxiv.math/0412425

25 pages

arxiv created 2004/12/21 · arxiv updated 2009/12/01

Abstract

We study some problems related to lazy 2-cocycles, such as: extension of (lazy) 2-cocycles to a Drinfeld double and to a Radford biproduct, Yetter-Drinfeld data obtained from lazy 2-cocycles, lifting of projective representations afforded by lazy 2-cocycles.

Related

• Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras
• Crossed product Hom-Hopf algebras and lazy 2-cocycle
• Hopf 2-cocycles of type A₂
• Lifting via cocycle deformation
• Two-cocycles and cleft extensions in left braided categories