318 reputation
17
bio website
location Mumbai, India
age
visits member for 3 years, 3 months
seen Aug 23 at 20:30

1st year grad student at TIFR Mumbai.

Areas of interest: Number Theory, Discrete Mathematics.


Aug
9
revised Irreducible representations of $S_n$ inside the ring of symmetric polynomials
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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
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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
Aug
2
revised Decomposition of polynomial ring as $S_n$-module
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Aug
2
comment Decomposition of polynomial ring as $S_n$-module
Thanks @Jeremy, that was much easier than I thought. What about $r_\lambda$, is there any explicit expression for them?
Aug
2
asked Decomposition of polynomial ring as $S_n$-module
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?
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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?
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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?
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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.
Jan
26
asked Can every finite abelian $p$-group with duality pairing be written as cokernel of a symmetric matrix over the $p$-adic integers?
Sep
24
awarded  Autobiographer