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David Hill's user avatar
David Hill's user avatar
David Hill's user avatar
David Hill
  • Member for 14 years, 9 months
  • Last seen more than 1 year ago
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A particular specialization of symmetric polynomials: is it bijective?
Conjugating $\mathcal{C}$ by the automorphism that interchanges the elementary and homogeneous symmetric functions may be helpful. Doing this in your example yields a triangular matrix (after deleting the first column).
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An application of Maschke's theorem
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An application of Maschke's theorem
@NickGill: I think you are misreading the condition.
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What natural numbers can be considered as the product of orders of elements of a finite (abelian) group
ARupinski: Right, $|K_\lambda|$ should be in the exponent. Silva: How much more explicit an answer do you think is possible in the $S_n$ case?
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Notation for substructure, especially for permutations?
Have your read the first chapter of Kleshchev's "Linear and projective representations of symmetric groups"? This reminds me of ideas of Okounkov & Vershik front.math.ucdavis.edu/0503.5040.
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Projective modules over Lie (super) algebras
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Plethysm of $\mathrm{QSym}$ into $\mathrm{QSym}$: can it be defined?
Well, $f\circ(g+h)=\sum(f_{(1)}\circ g)(h\circ f_{(2)}$ fixes this, and seems like a more natural formula anyway.
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permutation representation of $S_n$
This is precisely the construction I linked to above.
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Projective modules over Lie (super) algebras
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