The shifted plactic monoid
| dc.creator | Serrano, Luis | |
| dc.date | 2008-11-13 | |
| dc.date | 2009-01-20 | |
| dc.date.accessioned | 2026-07-07T12:31:25Z | |
| dc.date.available | 2026-07-07T12:31:25Z | |
| dc.description | We introduce a shifted analog of the plactic monoid of Lascoux and Schützenberger, the \emph{shifted plactic monoid}. It can be defined in two different ways: via the \emph{shifted Knuth relations}, or using Haiman's mixed insertion. Applications include: a new combinatorial derivation (and a new version of) the shifted Littlewood-Richardson Rule; similar results for the coefficients in the Schur expansion of a Schur $P$-function; a shifted counterpart of the Lascoux-Schützenberger theory of noncommutative Schur functions in plactic variables; a characterization of shifted tableau words; and more. | |
| dc.description | 32 pages, youngtab.sty required | |
| dc.identifier | https://arxiv.org/abs/0811.2057 | |
| dc.identifier | http://arxiv.org/abs/0811.2057 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216435 | |
| dc.subject | Combinatorics | |
| dc.title | The shifted plactic monoid | |
| dc.type | text |