A new characterization for the m-quasiinvariants of S_n and explicit basis for two row hook shapes
| dc.creator | Bandlow, Jason | |
| dc.creator | Musiker, Gregg | |
| dc.date | 2007-07-21 | |
| dc.date | 2007-07-23 | |
| dc.date.accessioned | 2026-07-07T10:11:07Z | |
| dc.date.available | 2026-07-07T10:11:07Z | |
| dc.description | In 2002, Feigin and Veselov defined the space of m-quasiinvariants for any Coxeter group, building on earlier work of Chalykh and Veselov. While many properties of those spaces were proven from this definition, an explicit computation of a basis was only done in certain cases. In particular, Feigin and Veselov computed bases for the m-quasiinvariants of dihedral groups, including S_3, and Felder and Veselov computed the non-symmetric m-quasiinvariants of lowest degree for general S_n. In this paper, we provide a new characterization of the m-quasiinvariants of S_n, and use this to provide a basis for the isotypic component indexed by the partition [n-1,1]. This builds on a previous paper in which we computed a basis for S_3 via combinatorial methods. | |
| dc.description | 26 pages, uses youngtab.sty | |
| dc.identifier | https://arxiv.org/abs/0707.3174 | |
| dc.identifier | http://arxiv.org/abs/0707.3174 | |
| dc.identifier | J. Combin. Theory Ser. A 115 (2008), no. 8, 1333--1357 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171763 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E99 | |
| dc.title | A new characterization for the m-quasiinvariants of S_n and explicit basis for two row hook shapes | |
| dc.type | text |