most recent 30 from http://mathoverflow.net 2013-05-25T03:19:55Z http://mathoverflow.net/feeds/user/11783 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/113784/is-the-g-extension-of-a-fusion-category-unique Lucy Zhang 2012-11-19T00:33:23Z 2012-11-21T23:14:12Z

<p>The definition reads that "A G-extension of a fusion category D is a G-graded fusion category C whose trivial component is equivalent to D." It seems like a priori there can be multiple G-extensions for the same fusion category D. Is that really the case (i.e. no reduction mechanism)? But there seems to be a "canonical one" at least, which has the same category D sitting on top of each component of the grading. Does this particular G-extension have a name?</p>

http://mathoverflow.net/questions/113784/is-the-g-extension-of-a-fusion-category-unique Lucy Zhang 2012-12-16T11:48:59Z 2012-12-16T11:48:59Z

Thanks! This is great to know! Fits exactly. :-)

http://mathoverflow.net/questions/113784/is-the-g-extension-of-a-fusion-category-unique/114115#114115 Lucy Zhang 2012-12-16T11:10:12Z 2012-12-16T11:10:12Z

Hey, Cesar! Thanks. Sorry for being off for a while. So, we can also twist the Deligne product, I assume. Let me look a bit more carefully into the reference paper. But it's always good to be able to just discuss intuitive. Hope to see you again soon.