Talk:Right and Left Regular Representations in Topological Group are Homeomorphisms

I don't call that a "representation", I call that an action of the group into itself by translation or simply left or right multiplication. What I call a representation of a group $G$ is a group homomorphism $\phi:G\to GL_n(\mathbb{F})$; where $\mathbb{F}$ is a field and $GL_n(\mathbb{F})$ is the general linear group.

That is why I didn't find it when I looked it up (I didn't use the word representation in the search); but I will linked it to what is already defined in the wiki.--Dan232 15:55, 7 December 2011 (CST)


 * The terms "left regular representation" and "right regular representation" are the names found in : $\S 7, \ \S 8$. "Representation" is a fairly loose word which can be applied to many things, including your group homomorphism (I believe that is also somewhere in proofwiki) but "regular representation" as defined here is the most general, from what I can tell. It is of course also a group action, and I think we've got that proved in here as well, somewhere (or at least we ought to have). --prime mover 16:25, 7 December 2011 (CST)