Talk:Quasitriangular Hopf algebra: Difference between revisions

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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]

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+== confusion about phi ==
 There is a confusion between two kinds of <math>\phi</math>. However I do not know how to correct it due to the following :
 : <math>\phi</math>
 : <math>\phi\otimes</math>
-(see the wiki code to understand what confuse me).
+(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.  <small>—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/137.111.90.68|137.111.90.68]] ([[User talk:137.111.90.68|talk]]) 04:11, 24 November 2007 (UTC)</small><!-- Template:UnsignedIP --> <!--Autosigned by SineBot-->
+* You can force html by adding complicated characters or simply forcing spaces: <math>\ \phi</math>. You can also change phi in LaTex: <math>\varphi</math> - that's closer to html. --[[User:Мыша|Anton]] ([[User talk:Мыша|talk]]) 20:37, 1 April 2009 (UTC)
+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.)  <span style="font-size: smaller;" class="autosigned">—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/130.54.16.83|130.54.16.83]] ([[User talk:130.54.16.83|talk]]) 06:41, 24 February 2009 (UTC)</span><!-- Template:UnsignedIP --> <!--Autosigned by SineBot-->
+== Notation ==
+What does <math>R \Delta(x)</math> mean? <math>R \in H\otimes H, \Delta(x) \in H\otimes H</math>, how are they multiplied? Is there a multiplication omitted? Or comultiplication? Or else? --[[User:Мыша|Anton]] ([[User talk:Мыша|talk]]) 20:37, 1 April 2009 (UTC)
+: Multiply in the usual way (a # b)(c # d) = ac # bd, so that <math>R \Delta(x) = R(x_1 \otimes x_2)</math> (summation omitted). Does it help? [[Special:Contributions/130.54.16.83|130.54.16.83]] ([[User talk:130.54.16.83|talk]]) 05:57, 17 June 2009 (UTC)
+:: Yes, thank you! --[[User:Мыша|Anton]] ([[User talk:Мыша|talk]]) 15:08, 20 June 2009 (UTC)
+The notations <math>R_{12}, R_{13}</math>, ... should be explained on the page.  <span style="font-size: smaller;" class="autosigned">— Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/130.223.147.248|130.223.147.248]] ([[User talk:130.223.147.248|talk]]) 14:14, 10 February 2012 (UTC)</span><!-- Template:Unsigned IP --> <!--Autosigned by SineBot-->