Cylindric skew Schur functions
| dc.creator | McNamara, Peter | |
| dc.date | 2004-10-13 | |
| dc.date | 2005-06-29 | |
| dc.date.accessioned | 2026-07-07T07:50:06Z | |
| dc.date.available | 2026-07-07T07:50:06Z | |
| dc.description | Cylindric skew Schur functions, which are a generalisation of skew Schur functions, arise naturally in the study of P-partitions. Also, recent work of A. Postnikov shows they have a strong connection with a problem of considerable current interest: that of finding a combinatorial proof of the non-negativity of the 3-point Gromov-Witten invariants. After explaining these motivations, we study cylindric skew Schur functions from the point of view of Schur-positivity. Using a result of I. Gessel and C. Krattenthaler, we generalise a formula of A. Bertram, I. Ciocan-Fontanine and W. Fulton, thus giving an expansion of an arbitrary cylindric skew Schur function in terms of skew Schur functions. While we show that no non-trivial cylindric skew Schur functions are Schur-positive, we conjecture that this can be reconciled using the new concept of cylindric Schur-positivity. | |
| dc.description | 32 pages, 14 figures. Minor expository improvements. Version to appear in Advances in Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0410301 | |
| dc.identifier | http://arxiv.org/abs/math/0410301 | |
| dc.identifier | Advances in Mathematics 205 (2006), 275-312 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125057 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E05 (Primary) 06A07, 14N35 (Secondary) | |
| dc.title | Cylindric skew Schur functions | |
| dc.type | text |