2019/06/12 by István Heckenberger, Heckenberger, István, Kevin Wolf +1
Mathematics · #16T05 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:16T05
paper · pdf · doi:10.48550/arxiv.1906.05109
23 pages
arxiv created 2019/06/12 · arxiv updated 2019/06/13
We define two-cocycles and cleft extensions in categories that are not necessarily braided, but where specific objects braid from one direction, like for a Hopf algebra H a Yetter-Drinfeld module braids from the left with H-modules. We will generalize classical results to this context and give some application for the categories of Yetter-Drinfeld modules and H-modules. In particular we will describe liftings of coradically graded Hopf algebras in the category of Yetter-Drinfeld modules with these techniques.