Talk:Quasitriangular Hopf algebra

The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

confusion about phi

There is a confusion between two kinds of $\phi$ . However I do not know how to correct it due to the following :

\phi

\phi \otimes

(see the wiki code to understand what confuse me). The one seems to be html while the other looks like LaTeX. How to force LaTeX everywhere ?

If anybody knows where these were first defined can they put that in the article? I believe they are attributed to both Drinfeld and Jimbo, but I do not know which articles. —Preceding unsigned comment added by 137.111.90.68 (talk) 04:11, 24 November 2007 (UTC)[reply]

You can force html by adding complicated characters or simply forcing spaces: $\ \phi$ . You can also change phi in LaTex: $\varphi$ - that's closer to html. --Anton (talk) 20:37, 1 April 2009 (UTC)[reply]

I think it is also nice to say that the categories of representations of a quasitriangular Hopf algebra is braided. (Quasitriangular Hopf algebras are also called braided Hopf algebras for this reason.) —Preceding unsigned comment added by 130.54.16.83 (talk) 06:41, 24 February 2009 (UTC)[reply]

Notation

What does $R\Delta (x)$ mean? $R\in H\otimes H,\Delta (x)\in H\otimes H$ , how are they multiplied? Is there a multiplication omitted? Or comultiplication? Or else? --Anton (talk) 20:37, 1 April 2009 (UTC)[reply]

Multiply in the usual way (a # b)(c # d) = ac # bd, so that

R\Delta (x)=R(x_{1}\otimes x_{2})

(summation omitted). Does it help? 130.54.16.83 (talk) 05:57, 17 June 2009 (UTC)[reply]

Yes, thank you! --Anton (talk) 15:08, 20 June 2009 (UTC)[reply]

The notations $R_{12},R_{13}$ , ... should be explained on the page. — Preceding unsigned comment added by 130.223.147.248 (talk) 14:14, 10 February 2012 (UTC)[reply]