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 Oct 10 comment Homogeneous polynomials on $\mathbb{P}^5$ which vanish on $\mathbb{P}^2$ In MSE the answer provides a code (which I am not aware) that computes the dimension, the answer does not satisfy me because it does not explain the algorithm that has been used in the code (as I commented there). Oct 10 asked Homogeneous polynomials on $\mathbb{P}^5$ which vanish on $\mathbb{P}^2$ Oct 9 comment Plethysm of $S^3(S^2V)$ as $\mathfrak{sl}_3(\mathbb{C})$-module Thanks. I was wondering, is it possible to prove the last line without using highest weight calculations (which I was trying to avoid)? Oct 8 asked Plethysm of $S^3(S^2V)$ as $\mathfrak{sl}_3(\mathbb{C})$-module Sep 8 awarded Popular Question Aug 9 revised Irreducible representations of $S_n$ inside the ring of symmetric polynomials added 17 characters in body Aug 9 revised Irreducible representations of $S_n$ inside the ring of symmetric polynomials added 17 characters in body Aug 9 revised Irreducible representations of $S_n$ inside the ring of symmetric polynomials added 17 characters in body Aug 9 comment Irreducible representations of $S_n$ inside the ring of symmetric polynomials Yes, you are right; may be I should rephrase the first line of the question. My main queries are the last two questions. Are they not interesting, or may be does not have a nice answer? Aug 9 comment Irreducible representations of $S_n$ inside the ring of symmetric polynomials The second construction can be found in Fulton's 'Young Tableau' (section 7.3, page 91). Aug 9 comment Irreducible representations of $S_n$ inside the ring of symmetric polynomials Yes, the polynmials $E_{\{T\}}$ are not symmetric (I never claimed them to be), but, for example, if we take their sum (varying $\pi$ over the Young subgroup then we get a symmetric polynomial associated to $\lambda$; is their any relation between them and $h_\lambda$'s, do they form a basis like $h_\lambda$ ? Aug 9 asked Irreducible representations of $S_n$ inside the ring of symmetric polynomials Apr 24 asked A question on Hawaiian earring Jan 26 comment Can every finite abelian $p$-group with duality pairing be written as cokernel of a symmetric matrix over the $p$-adic integers? @user74230: Yes, you are right, thanks. I have edited the question. Jan 26 revised Can every finite abelian $p$-group with duality pairing be written as cokernel of a symmetric matrix over the $p$-adic integers? added 263 characters in body Jan 26 comment Can every finite abelian $p$-group with duality pairing be written as cokernel of a symmetric matrix over the $p$-adic integers? I have edited my question to explain the connection of the mentioned 'duality pairing'. Jan 26 revised Can every finite abelian $p$-group with duality pairing be written as cokernel of a symmetric matrix over the $p$-adic integers? added 522 characters in body Jan 26 comment Can every finite abelian $p$-group with duality pairing be written as cokernel of a symmetric matrix over the $p$-adic integers? @abx: I did ask this question in MSE but unfortunately did not get any answer. Could you please elaborate your answer? Jan 26 revised Can every finite abelian $p$-group with duality pairing be written as cokernel of a symmetric matrix over the $p$-adic integers? added 15 characters in body Jan 26 comment Can every finite abelian $p$-group with duality pairing be written as cokernel of a symmetric matrix over the $p$-adic integers? Yes, finite and commutative. Edited, sorry for the confusion.