Timeline for Is it possible to construct category $\mathcal{O}^{\mathfrak{p}}$ with non-standard parabolic subalgebra
Current License: CC BY-SA 2.5
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| Nov 15, 2010 at 11:49 | comment | added | Jim Humphreys | There is some confusion in the question: an arbitrary parabolic subalgebra is conjugate under the associated adjoint group to a standard one, so all parabolic categories are equivalent to those constructed using some fixed set of simple roots. The choice of simple roots, hence of "standard" parabolics, doesn't matter here. | |
| Nov 15, 2010 at 7:23 | comment | added | Ben Webster♦ | I'm having trouble coming up with a clever justification for this argument, but I think that actually, you will just end up with category $\mathcal O$ for the smallest standard parabolic containing whichever one you choose. | |
| Nov 15, 2010 at 1:37 | history | edited | Anton Nazarov | CC BY-SA 2.5 |
Fix spelling and display of mathematical formulae
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| Nov 15, 2010 at 1:30 | history | asked | Anton Nazarov | CC BY-SA 2.5 |