Chuck Hague

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Name Chuck Hague
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Postdoc at the University of Delaware.
May
7
answered quasi-minuscule representations
Apr
30
comment Algebraic Stratifications of $G$-varieties
This is true in the case of partial flag varieties, cf the comments at the beginning of section 3.12 in this paper: arxiv.org/pdf/0809.4785.pdf
Apr
29
revised Defining Equations of a Flag Variety
edited body
Apr
29
answered Defining Equations of a Flag Variety
Apr
24
answered Stratifications and Cohomology Computations
Apr
14
awarded  Popular Question
Apr
6
comment Why does the naive choice of homogeneous coordinate ring of a product of projective schemes not work?
Very nice answer -- thanks!
Apr
6
comment Why does the naive choice of homogeneous coordinate ring of a product of projective schemes not work?
Ah yes, that makes sense. So I guess this boils down to the obvious fact that a product of affine cones over a projective scheme will never be an affine cone over the product (eg by dimension considerations), which immediately shows that the naive hypothesis is false.
Apr
6
asked Why does the naive choice of homogeneous coordinate ring of a product of projective schemes not work?
Mar
29
revised Degree of a commutator in a hyperalgebra or enveloping algebra
bug fixes
Mar
29
comment Degree of a commutator in a hyperalgebra or enveloping algebra
Oh yikes, yes. That's a good point. I obviously haven't thought this through well enough.
Mar
29
asked Degree of a commutator in a hyperalgebra or enveloping algebra
Feb
7
revised Rep Theory Consequences of Bott--Weil--Borel
added 15 characters in body
Feb
7
answered Rep Theory Consequences of Bott--Weil--Borel
Jan
25
comment Can one embedd the projectivezed tangent space of CP^2 in a projective space?
Sorry -- I should have been more clear. I'm using the fact that if E is an algebraic vector bundle on a variety then indeed the projectivization of E is also a variety (this is contained in the $\textbf{Proj}$ construction, cf Section II.7 of Hartshorne). Since the tangent space to $ \mathbb P^n $ is an algebraic bundle the result follows. (As for the projectiveness, one doesn't require a variety to be projective for it to embed in projective space -- eg, every affine variety will embed in projective space too. If we are talking about a closed embedding, of course the answer is different.)
Jan
25
comment Can one embedd the projectivezed tangent space of CP^2 in a projective space?
Since every complex algebraic variety can be embedded in a projective space, unless I'm missing something here the answer to your question is trivially yes.
Jan
14
comment Good book on representation theory of GL(n)
I would second the recommendation for Fulton and Harris. It covers the basics of the representation theory of $GL(n)$ in a friendly and accessible way.
Jan
14
comment On the blow-up along the diagonal in a product
Great, thanks! That's very helpful.
Jan
11
asked On the blow-up along the diagonal in a product
Dec
20
asked On local parameters at the origin in an algebraic group