Timeline for What is Jantzen's formula for the determinant of the Shapovalov form in the case of generalized Verma modules?
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| Nov 8, 2018 at 0:21 | answer | added | YVB | timeline score: 1 | |
| Jul 5, 2015 at 15:37 | history | edited | Jim Humphreys |
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| Jul 5, 2015 at 14:58 | answer | added | Jim Humphreys | timeline score: 7 | |
| Jul 3, 2015 at 13:48 | comment | added | João Penedones | I added another question (second paragraph above) that would be sufficient for my purposes and which might be simpler to answer. | |
| Jul 3, 2015 at 13:47 | history | edited | João Penedones | CC BY-SA 3.0 |
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| Jul 3, 2015 at 13:36 | comment | added | João Penedones | Thank you for your comments. I edited the text to clarify that the group $SO(d+2)$ is the conformal group in $d>2$ space dimensions. | |
| Jul 3, 2015 at 13:34 | history | edited | João Penedones | CC BY-SA 3.0 |
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| Jul 2, 2015 at 13:14 | comment | added | Jim Humphreys | P.S. The basic paper by Jantzen investigating the parabolic case is available here: gdz.sub.uni-goettingen.de/dms/load/img/?PPN=GDZPPN002313782 (see especially Satz 2, where there is a lot of notation which I'll try to unpack in your setting). Keep in mind that the determinant on each weight space is only computed up to an arbitrary nonzero constant in $\mathbb{C}$. | |
| Jul 2, 2015 at 13:11 | comment | added | Jim Humphreys | Two preliminary comments: 1) Kac-Kazhdan work in a vastly more general setting, so it's probably not useful to consult their concise paper if your question is about a finite dimensional case. 2) I'm unclear about your notation and "$d$-dimensional": $SO(d)$ usually means a compact Lie group of type $B_\ell$ or $D_\ell$ for $d=2\ell+1$ or $2\ell$, so you'd have to pass to the corresponding complex Lie algebra. In that case, what is the smallest $d$ you'd be interested in? (I'm trying to pin down the parabolic subalgebras and Levi subalgebras involved.) | |
| Jul 1, 2015 at 15:47 | history | edited | João Penedones | CC BY-SA 3.0 |
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| Jul 1, 2015 at 8:28 | history | edited | João Penedones | CC BY-SA 3.0 |
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| Jul 1, 2015 at 8:19 | review | First posts | |||
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| Jul 1, 2015 at 8:16 | history | asked | João Penedones | CC BY-SA 3.0 |