Bottom Schur functions
| dc.creator | Clifford, Peter | |
| dc.creator | Stanley, Richard P. | |
| dc.date | 2003-11-21 | |
| dc.date | 2004-09-20 | |
| dc.date.accessioned | 2026-07-07T05:03:09Z | |
| dc.date.available | 2026-07-07T05:03:09Z | |
| dc.description | We give a basis for the space V spanned by the lowest degree part \hat{s}_λof the expansion of the Schur symmetric functions s_λin terms of power sums, where we define the degree of the power sum p_i to be 1. In particular, the dimension of the subspace V_n spanned by those \hat{s}_λfor which λis a partition of n is equal to the number of partitions of n whose parts differ by at least 2. We also show that a symmetric function closely related to \hat{s}_λhas the same coefficients when expanded in terms of power sums or augmented monomial symmetric functions. Proofs are based on the theory of minimal border strip decompositions of Young diagrams. | |
| dc.description | 16 pages, 13 figures To appear in the Electronic Journal of Combinatorics | |
| dc.identifier | https://arxiv.org/abs/math/0311382 | |
| dc.identifier | http://arxiv.org/abs/math/0311382 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69297 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E05,05E10 | |
| dc.title | Bottom Schur functions | |
| dc.type | text |