most recent 30 from http://mathoverflow.net 2013-05-19T00:33:12Z http://mathoverflow.net/feeds/user/23116 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/93445/liftings-of-nichols-algebras-over-racks-via-doi-twist/94798#94798 Agustín García Iglesias 2012-04-22T02:04:19Z 2012-04-22T02:04:19Z

<p>At the moment it is not easy to see that this will also hold for the non-abelian case, or even for the abelian cases yet to be computed, although there are no counter examples. It holds in most known examples as shown in </p> <p>A. G. I. and Mombelli, M. Representations of the category of modules over pointed Hopf algebras over S_3 and S_4 (joint work with Martín Mombelli). Pacific Journal of Mathematics, 252 (2) (2011), pp. 343–378. Available at arXiv:1006.1857v5. </p> <p>for liftings over S4 and S3, and in </p> <p>G. A. García and M. Mastnak. Deformation by cocycles of pointed Hopf algebras over non-abelian groups. Preprint: arXiv:1203.0957v1</p> <p>for liftings over D4. In this last paper, moreover, the cocycles are explicitly computed. </p>