Talk:Young symmetrizer

Construction
I have several issues with this section, which I hope to either find the time and expertise to address personally, or else draw the attention of someone more skilled. Here are some potential issues:

-Going back and forth between definition and example. Giving an example after the full explanation is preferable.

-Overuse of cluttered inline typesetting. No nice paragraphs or breaks in style. Compare with nicely set first section of this article.

-Introduction of abbreviations like "Sym" and "End" without definition or blue-link

-Use of the word "clearly" which "clearly" violates Wikipedia style :)

As I said, I hope to address these issues in the future if no one more qualified comes to save the day. Lily.r.s (talk) 06:50, 12 March 2014 (UTC)

Preamble
It seems there is a mistake in the preamble. Over a field $$k$$ of characteristic 0, If $$\lambda$$ is a partition of $$n$$ and $$c_\lambda$$ is a Young symmetrizer, then it is $$k(S_n)c_\lambda$$ that is going to be an irreducible representation of $$S_n$$. The image $$c_\lambda V^{\otimes n}$$ of $$c_\lambda$$ in $$V^{\otimes n}$$, which is what is written in the preamble, is instead an irreducible representation of $$GL(V)$$. I am hoping someone could confirm this.

Zxiong (talk) 07:49, 20 November 2015 (UTC)

Assessment comment
Substituted at 02:41, 5 May 2016 (UTC)

This article is pretty bad
It's basically just a bunch of stuff copied word-for-word out of Fulton and Harris's book with no additional explanation, quotation marks, or citation. 199.249.110.232 (talk) 02:29, 17 March 2018 (UTC)


 * Well, the definitions and the constructions are pretty much the same across any references (and Wikipedia isn't a place to introduce a cool new construction). Do you have any specific materials that you think can be added? -- Taku (talk) 02:52, 17 March 2018 (UTC)