Timeline for Characters of orthogonal groups as symmetric functions
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 14, 2019 at 19:05 | comment | added | Per Alexandersson | @Marcel: Ah you are right of course! Hm, so there is a nice relationship using $\omega$ between orthogonal and symplectic Schur, so if there is a Murnaghan-Nakayama rule for one of these, then there is one for the other. | |
| Jun 14, 2019 at 17:46 | comment | added | Marcel | Exactly, so the function $o_\lambda(x)$ has $2n$ arguments and has full $S_{2n}$ symmetry with respect to them, yes? So why did you suggest in your answer to treat the positive and negative alphabets separately? | |
| Jun 14, 2019 at 17:42 | comment | added | Per Alexandersson | @Marcel : ah, i should add a warning - on the top of the page, it is stated what the alphabet is, (which includes the negative powers!). | |
| Jun 14, 2019 at 17:14 | comment | added | Marcel | Wait, the formula you give for $o_\lambda$ in your page as a determinant of a difference of $h$-functions is symmetric in all its arguments. I don't understand. | |
| Mar 7, 2019 at 23:51 | vote | accept | Marcel | ||
| Mar 7, 2019 at 9:57 | history | answered | Per Alexandersson | CC BY-SA 4.0 |