Chuck Hague
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Registered User
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Postdoc at the University of Delaware.
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May 7 |
answered | quasi-minuscule representations |
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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 |
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Apr 29 |
revised |
Defining Equations of a Flag Variety edited body |
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Apr 29 |
answered | Defining Equations of a Flag Variety |
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Apr 24 |
answered | Stratifications and Cohomology Computations |
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Apr 14 |
awarded | ● Popular Question |
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Apr 6 |
comment |
Why does the naive choice of homogeneous coordinate ring of a product of projective schemes not work? Very nice answer -- thanks! |
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Apr 6 |
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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. |
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Apr 6 |
asked | Why does the naive choice of homogeneous coordinate ring of a product of projective schemes not work? |
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Mar 29 |
revised |
Degree of a commutator in a hyperalgebra or enveloping algebra bug fixes |
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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. |
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Mar 29 |
asked | Degree of a commutator in a hyperalgebra or enveloping algebra |
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Feb 7 |
revised |
Rep Theory Consequences of Bott--Weil--Borel added 15 characters in body |
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Feb 7 |
answered | Rep Theory Consequences of Bott--Weil--Borel |
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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.) |
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Jan 25 |
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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. |
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Jan 14 |
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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. |
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Jan 14 |
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On the blow-up along the diagonal in a product Great, thanks! That's very helpful. |
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Jan 11 |
asked | On the blow-up along the diagonal in a product |
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Dec 20 |
asked | On local parameters at the origin in an algebraic group |

