Equi-distribution over Descent Classes of the Hyperoctahedral Group
| dc.creator | Adin, R. M. | |
| dc.creator | Brenti, F. | |
| dc.creator | Roichman, Y. | |
| dc.date | 2005-08-19 | |
| dc.date | 2005-09-06 | |
| dc.date.accessioned | 2026-07-07T05:22:29Z | |
| dc.date.available | 2026-07-07T05:22:29Z | |
| dc.description | A classical result of MacMahon shows that the length function and the major index are equi-distributed over the symmetric group. Foata and Schützenberger gave a remarkable refinement and proved that these parameters are equi-distributed over inverse descent classes, implying bivariate equi-distribution identities. Type $B$ analogues of these results, refinements and consequences are given in this paper. | |
| dc.description | 23 pp., to appear in J. Combin. Theory (Ser. A); reference added in proof | |
| dc.identifier | https://arxiv.org/abs/math/0508362 | |
| dc.identifier | http://arxiv.org/abs/math/0508362 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76081 | |
| dc.subject | Combinatorics | |
| dc.subject | Group Theory | |
| dc.title | Equi-distribution over Descent Classes of the Hyperoctahedral Group | |
| dc.type | text |