Quasiinvariants of $S_3$
| dc.creator | Bandlow, Jason | |
| dc.creator | Musiker, Gregg | |
| dc.date | 2006-03-20 | |
| dc.date.accessioned | 2026-07-07T07:07:06Z | |
| dc.date.available | 2026-07-07T07:07:06Z | |
| dc.description | Let $s_{ij}$ represent a tranposition in $S_n$. A polynomial $P$ in $\mathbb{Q}[X_n]$ is said to be $m$-quasiinvariant with respect to $S_n$ if $(x_i-x_j)^{2m+1}$ divides $(1-s_{ij})P$ for all $1 \leq i, j \leq n$. We call the ring $m$-quasiinvariants $QI_m[X_n]$. We describe a method for constructing a basis for the quotient $QI_m[X_3]/< e_1, e_2, e_3>$. This leads to the evaluation of certain binomial determinants that are interesting in their own right. | |
| dc.description | 18 pages, 2 figures, presented at 2004 Joint Meetings of the AMS and MAA | |
| dc.identifier | https://arxiv.org/abs/math/0603482 | |
| dc.identifier | http://arxiv.org/abs/math/0603482 | |
| dc.identifier | J. Combin. Theory Ser. A 109 (2005), no. 2, 281--298 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110265 | |
| dc.subject | Combinatorics | |
| dc.subject | Commutative Algebra | |
| dc.subject | 05E10, 20C30 | |
| dc.title | Quasiinvariants of $S_3$ | |
| dc.type | text |