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location Kansas
age 27
visits member for 4 years, 6 months
seen Dec 9 '13 at 20:32
I am a graduate student at Kansas State University. I am interested in non-commutative geometry. In particular, its applications to Representation Theory. \\ Q: What do you get if you quantize Hermann Weyl? A: Werner Heisenberg.

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comment Point modules of quantum projective space $\mathbb{P}^n$
Have you looked at Rogalski's notes? He mentions that in general X will live in the product of projective spaces. He also talks about how consider them for a finitely presented algebra with homogeneous ideal.
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comment On q-Demazure operators
After looking at your profile, I worry that you knew already everything I said.
Oct
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comment On q-Demazure operators
If you want these operators to compute KL multiplicities in the quantum group setting you need a lot more framework, if you just want to "q-ify" the formulas from the classical case, maybe this is already true from quantum Schubert polynomials?
Oct
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comment On q-Demazure operators
As far as I can tell, you're being fairly abstract about what you mean about q-analog here. Perhaps you mean quantum Schubert calculus and what Demazure operators correspond to this. Perhaps you mean quantum K-theory and those Demazure operators. Perhaps you even mean Demazure operators associated to quantum groups. As far as I understand, there has been lots of work in the first two directions, and I am interested in the third direction.
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comment For $\mathfrak g$ A Lie algebra of type $ E_7 $, $\mathfrak h $ a Cartan subalgebra and $\Delta$ the resulting root system, does $ Aut(\mathfrak g,\mathfrak h)\rightarrow Aut(\Delta) $ split over the Weyl group?
Thank you for this comment Allen, it was very helpful in answering a question I hadn't been able to ask.
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comment Isomorphisms of quantum planes
Thanks for your comments. I will think about this some more.
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revised Isomorphisms of quantum planes
added 178 characters in body
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comment Isomorphisms of quantum planes
Yes I misspoke about the "copy of Uq". I need to think more about your first comment. I was thinking that this would be the same elements making up the image of the other rep, but I don't know this. I'll think a bit more.