Timeline for Are the Weyl modules projectives?
Current License: CC BY-SA 3.0
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Jun 20, 2012 at 16:09 | comment | added | Jim Humphreys |
@Wilberd: I was interpreting the question as asking about a category of modules in which all Weyl modules are projective (at least those living in the category). Your category won't usually have that property. Also, it's probably more accurate to say that the category depends on the single weight $\lambda$ rather than on the corresponding Weyl module. But this type of bounded category is certainly natural enough.
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Jun 20, 2012 at 12:44 | comment | added | George McNinch | Thanks, Wilberd! I had a vague memory of some category like that; probably I read about Polo's theorem in your Lecture Notes a while back, but I didn't remember much about it. | |
Jun 20, 2012 at 12:15 | history | answered | Wilberd van der Kallen | CC BY-SA 3.0 |