Thank you both for the replies, and I'm sorry I didn't say so sooner (Easter got in the way).
BK, I found your explanation helpful and easy to follow, if a little disappointing. Is there really no way (that you're aware of) to create the appropriate expression from the Young diagrams...
Okay, in that case how does one construct the correct algebraic expression (in terms of \psi_as, etc.)? The totally symmetric 4 dimension state in my problem corresponds to the diagram labelled S_3 in this figure;
and it's easy to write the corresponding expression - just sum over all the...
Hello all,
I'm stuck on understanding part of a discussion of representations and Clebsch-Gordan series in the book 'Groups, representations and Physics' by H F Jones. I'd be grateful to anyone who can help me out.
For starters, this discussion is in the SU(2) case. I don't know how to...
Arkajad, thank you very much. I disappeared for a while over the new year break, but I let your comments sink in and I think I have got it now. So allow me to paraphrase, and please correct me if I'm wrong...
In an algebra {\cal A}, you have a subalgebra {\cal L} which is a left ideal, i.e...
Okay, thanks, that's clearly a significant point that hadn't sunk in before. Can you illustrate with an example or two, please? I know a module is a generalization of a vector space, where scalar multiplication of the vectors is by scalars from a ring rather than a field. But the most common...
arkajad, thank you for the reply, however I might elaborate a bit more on my question to get closer to an answer that will (hopefully) satisfy me.
So it's not a matter of whether or not I "like" modules. I have nothing against them :-) In fact I'm pretty comfortable with the idea of saying...
Hi, I'm trying to understand spinors better, and I seem to be getting stuck on understanding the reason they're said to transform differently from vectors, and I'd appreciate any help with a justification for that. I'm sure I'm missing something pretty simple, but here goes;
Here's what I've...