Timeline for Criterion for nilradical of a maximal parabolic subalgebra to be abelian?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 29, 2013 at 13:25 | vote | accept | Jim Humphreys | ||
| Apr 29, 2013 at 8:00 | comment | added | Vít Tuček | bearspace.baylor.edu/Markus_Hunziker/www/hermitian.pdf Lemma 2.2 | |
| Apr 29, 2013 at 1:06 | comment | added | MTS | @Jim, check your email. | |
| Apr 29, 2013 at 0:21 | comment | added | Jim Humphreys | Yes, I was being careless in not writing cominiscule (so I've edited a bit). The criterion 5 you list does seem optimal for checking and agrees with cases I recollect from various sources. I'm still wondering if such equivalent conditions have been written down explicitly with proofs, but at least the bits and pieces make sense to me. I will have to get acquainted with the Kobayashi paper. | |
| Apr 28, 2013 at 23:57 | comment | added | MTS | I should say that some people refer to this property by saying that $\mathfrak{p}$ is of cominuscule type. It is related to the property of minusculity, but is not quite the same. See the beginning of Chapter 9 of Billey and Lakshmibai, Singular Loci of Schubert Varieties for a little more information on that connection. | |
| Apr 28, 2013 at 23:53 | history | answered | MTS | CC BY-SA 3.0 |