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bio website people.virginia.edu/~deh4n
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visits member for 4 years, 1 month
seen Jun 24 '13 at 17:02

Nov
8
awarded  Yearling
Jun
25
awarded  Revival
May
1
comment 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.
May
1
revised Projective modules over Lie (super) algebras
deleted 10 characters in body
May
1
comment 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.
Apr
27
comment permutation representation of $S_n$
This is precisely the construction I linked to above.
Apr
25
revised Projective modules over Lie (super) algebras
added 209 characters in body
Apr
24
answered Projective modules over Lie (super) algebras
Apr
22
comment Projective modules over Lie (super) algebras
Do I understand correctly that $G_0$ is just a finite dimensional Lie algebra?
Apr
16
answered permutation representation of $S_n$
Apr
11
comment Name for algebra and its tensor products
I don't know if this is helpful, but when $n=2$, $U_1$ can be written in terms of $U_0$, so we can regard the algebra as a quotient of a polynomial algebra: $k[x]/\langle x(x^3-4x^2+2x-1)\rangle$. Perhaps it would be easier for someone to recognize this algebra.
Apr
9
comment Name for algebra and its tensor products
How do I interpret your relation when $j=1$ or $n$?
Mar
11
comment Why are there two Hopf algebra structures on a Kac--Moody Algebra.
Chari-Pressley's text is good.
Mar
5
answered character formula for demazure modules
Feb
26
comment Reference request on symmetric polynomials
Doesn't setting $x_j=-1$ just change the coefficient of $e_{k-1}$ to $-1$ (same for $e_{n-1}$. In that case, setting one $x_j=-1$ gives you -1 in (1).
Feb
26
answered Reference request on symmetric polynomials
Feb
25
accepted A question on Lusztig's `graph with automorphism' construction?
Feb
25
comment A question on Lusztig's `graph with automorphism' construction?
Thanks, Peter! Yeah, I guess that is obvious.
Feb
24
revised A question on Lusztig's `graph with automorphism' construction?
improved presentation
Feb
24
asked A question on Lusztig's `graph with automorphism' construction?