most recent 30 from http://mathoverflow.net 2013-05-25T04:08:35Z http://mathoverflow.net/feeds/question/107530 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/107530/fusion-category-and-hopf-algebra Jingcheng Dong 2012-09-19T06:22:32Z 2012-10-08T06:22:01Z

<p>Let $H$ be a semisimple Hopf algebra over an algebraically closed field of characteristic zero. Further, let $K\subseteq H$ be a normal Hopf subalgebra. As we all know, $H$ then can be reconstructed from $K$ by some compatible data [1]. </p> <p>I want to know if there exists a similar result on Rep($H$) and Rep($K$), where Rep($H$) is the fusion category of finite-dimensional representations of $H$? If not, what can be said about Rep($H$) and Rep($K$)?</p> <p>Thank you!</p> <p>[1]N. Andruskiewitsch, Notes on extensions of Hopf algebras, Canad. J. Math. 48 (1996), 3-42</p>

http://mathoverflow.net/questions/107530/fusion-category-and-hopf-algebra/107659#107659 Olivier GABRIEL 2012-09-20T07:36:24Z 2012-09-20T07:36:24Z

<p>The following article may interest you: C. Pinzari and J. Roberts, A Duality Theorem for Ergodic Actions of Compact Quantum Groups on C *-Algebras, Communications in Mathematical Physics 277 (2008) no 2, 385-421.</p> <p>However, this article is written in the language of C*-tensor categories and compact quantum groups.</p> <p>I hope this helps...</p>

http://mathoverflow.net/questions/107530/fusion-category-and-hopf-algebra/107958#107958 Jingcheng Dong 2012-09-24T05:50:16Z 2012-09-24T05:50:16Z

<p>Thanks, I will read that paper!</p>