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Sep
26 |
awarded | Good Answer |
Sep
26 |
revised |
How to prove this polynomial always has integer values at all integers?
formula ran off page |
Sep
26 |
revised |
How to prove this polynomial always has integer values at all integers?
formula ran off page |
Sep
26 |
awarded | Enlightened |
Sep
25 |
comment |
How to prove this polynomial always has integer values at all integers?
It was take home. |
Sep
23 |
comment |
cohomology theory for algebraic groups
@David_Stuart The paper by Brian is called "Cohomology of Algebraic groups" and it explains that generic cohomology of a finite dimensional module equals discrete cohomology because the projective limit satisfies the Mittag-Leffler condition. |
Sep
23 |
comment |
cohomology theory for algebraic groups
@David_Stuart. Am I missing a projective limit? Is the argument of van der Kallen that this is the kind of limit that is treated by J. E. Roos in LNM 92, Berlin 1969 ? |
Sep
23 |
comment |
cohomology theory for algebraic groups
Why refer to something that is difficult to get hold of? Just refer to our 1977 Inventiones paper which was a joint paper for good reasons. |
Sep
22 |
revised |
How to prove this polynomial always has integer values at all integers?
91 replaced with 153 |
Sep
22 |
revised |
How to prove this polynomial always has integer values at all integers?
three inequalities corrected |
Sep
21 |
revised |
How to prove this polynomial always has integer values at all integers?
one more number corrected |
Sep
21 |
revised |
How to prove this polynomial always has integer values at all integers?
two numbers changed |
Sep
18 |
awarded | Nice Answer |
Sep
18 |
awarded | Necromancer |
Sep
18 |
awarded | Revival |
Sep
18 |
revised |
How to prove this polynomial always has integer values at all integers?
deleted 11 characters in body |
Sep
18 |
answered | How to prove this polynomial always has integer values at all integers? |
Sep
9 |
comment |
Questions about $\mathbb{C}[G/U^-]$ and $\mathbb{C}[B]$
One must use the action on $\mathbb C[B]$ from the left and from the right. Filter by requiring that weights are no further than $d$ from zero for both actions. That is, look at maximal submodules (for the double action) with that property. This gives a canonical filtration which one should make explicit in terms of the coordinates. You should find multiplicities for $d$ less than 5. |
Sep
7 |
comment |
Questions about $\mathbb{C}[G/U^-]$ and $\mathbb{C}[B]$
The P(−λ) are the $V(λ)^*$ of Jianrong Li, so there must be multiplicities. It must already be visible for $SL_2$ that there are multiplicities so that the map $\bigoplus_{h\in S} M_\lambda^* \to \mathbb{C}[B]$ is not surjective. |
Sep
7 |
comment |
Questions about $\mathbb{C}[G/U^-]$ and $\mathbb{C}[B]$
The paper was about longest weight vectors, not just lowest weight vectors. |