most recent 30 from http://mathoverflow.net 2013-05-24T21:21:53Z http://mathoverflow.net/feeds/question/105 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/105/what-is-the-right-hermitian-structure-on-tensor-products-of-quantum-group-repre Ben Webster 2009-10-05T02:55:40Z 2009-10-09T16:25:16Z

<p>This is pretty specific, but there are some experts around.</p> <p>So, in Chari &amp; Pressley, it's explained that in the standard *-structure, every irreducible, finite-dimensional representation of a quantum group (at a generic parameter) is unitary. Is it written somewhere what the "right" unitary structure on a tensor product of these representations is? </p> <p>I ask because if one categorifies such representations, one gets a unitary structure essentially for free, so it would extremely useful if someone had already written down one I could match up with.</p>

http://mathoverflow.net/questions/105/what-is-the-right-hermitian-structure-on-tensor-products-of-quantum-group-repre/106#106 Scott Morrison 2009-10-05T03:04:20Z 2009-10-05T03:04:20Z

<p>I know these are all about the root of unity case, but you might look at <a href="http://www.ams.org/mathscinet-getitem?mr=1358983" rel="nofollow">this paper</a> by Kirillov, and <a href="http://www.ams.org/mathscinet-getitem?mr=1470857" rel="nofollow">this one</a> by Wenzl.</p>