The Rank and Minimal Border Strip Decompositions of a Skew Partition
| dc.creator | Stanley, Richard P. | |
| dc.date | 2001-09-14 | |
| dc.date.accessioned | 2026-07-07T04:43:22Z | |
| dc.date.available | 2026-07-07T04:43:22Z | |
| dc.description | Nazarov and Tarasov recently generalized the notion of the rank of a partition to skew partitions. We give several characterizations of the rank of a skew partition and one possible characterization that remains open. One of the characterizations involves the decomposition of a skew shape into a minimal number of border strips, and we develop a theory of these MBSD's as well as of the closely related minimal border strip tableaux. An application is given to the value of a character of the symmetric group S_n indexed by a skew shape z at a permutation whose number of cycles is the rank of z. | |
| dc.description | 31 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/math/0109092 | |
| dc.identifier | http://arxiv.org/abs/math/0109092 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62192 | |
| dc.subject | Combinatorics | |
| dc.subject | Representation Theory | |
| dc.subject | 05E10 | |
| dc.title | The Rank and Minimal Border Strip Decompositions of a Skew Partition | |
| dc.type | text |