Timeline for Weight multiplicity formulae for $(\mathfrak g,B)$-irreps
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 12, 2014 at 13:33 | comment | added | Jim Humphreys | @Allen: No, it's a general fact (if "antidominant" is defined in the natural way: see 3.5 for discussion of terminology). However, there seems to be no simple unified proof, so I wound up treating integral weights in 4.4 but waited until 4.8 to deal with non-integral ones. Here as elsewhere in the subject it's annoying to make detours into more elaborate arguments for arbitary $\lambda \in \mathfrak{h}^*$. And sometimes the integral case is all one wants. | |
| Oct 11, 2014 at 18:12 | comment | added | Allen Knutson | The "simple iff antidominant" statement is only in the presence of the $\lambda$ integral assumption, right? | |
| Oct 10, 2014 at 18:58 | history | answered | Jim Humphreys | CC BY-SA 3.0 |