http://mathoverflow.net/revisions/14708/list

Answer by user "VA" to question http://mathoverflow.net/questions/14613 :

"This is just to add 1% to Dmitri's 99% complete answer. Change the coordinates to $w_0,\dots, w_{n-1}$ defined by the formula

$$ w_i = x_0 + \mu^i x_1 + \mu^{2i} x_2 + \dots, $$

where $\mu$ is a primitive $n$-th root of identity. Then the ring of invariants is the subring of monomials

$$ w_0^{k_0}\dots w_{n-1}^{k_{n-1}} \quad \text{such that}\quad n\ |\ k_1 + 2k_2 + \dots (n-1) k_n$$

and a set of generators can be obtained by taking minimal such monomials (i.e. not divisible by smaller such monomials). And relations between these generators are of the form (monomial in $w_i$) = (another monomial in $w_i$). That's a pretty easy presentation by any standard.

P.S. This works over $\mathbb C$ or any ring containing $1/n$ and $\mu$."

Notice that this answer, while not adding any new ideas, noticeably improves upon the exposition of Dmitri's one. It is voted +3, so I am surprised the author was able to delete it in the first place...

You cannot delete your own posts in the following cases:

1. You are an unregistered user.
2. You are trying to delete an accepted answer.
3. You are trying to delete a question with an upvoted answer.

This is my experience from SE 2.0, but I believe that this feature is shared with MO and its obsolete software.

Ah, I see! Voting to undelete then, and if possible to scan through the other deleted posts from the same author.

@justcurious: is you post here something, it is not yours anymore. If the community feels that your contribution is important and useful, then you have to accept that it becomes visible to everyone. At the moment it is visible to quite a few users anyway.