Linearly Independent Products of Rectangularly Complementary Schur Functions
| dc.creator | Kleber, Michael | |
| dc.date | 2002-09-11 | |
| dc.date | 2002-10-04 | |
| dc.date.accessioned | 2026-07-07T04:50:47Z | |
| dc.date.available | 2026-07-07T04:50:47Z | |
| dc.description | Fix a rectangular Young diagram R, and consider all the products of Schur functions s(mu) s(mu^c), where mu and mu^c run over all (unordered) pairs of partitions which are complementary with respect to R. Theorem: The self-complementary products, s(mu)^2 where mu=mu^c, are linearly independent of all other s(mu) s(mu^c). Conjecture: The products s(mu) s(mu^c) are all linearly independent. | |
| dc.description | 8 pages. Final version appearing in EJC. Formerly titled "A Theorem and a Conjecture on Rectangles and Schur Functions;" the section on the conjecture has been abbreviated and minor edits made throughout | |
| dc.identifier | https://arxiv.org/abs/math/0209136 | |
| dc.identifier | http://arxiv.org/abs/math/0209136 | |
| dc.identifier | Electronic Journal of Combinatorics 9(1) (2002) #R39 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64919 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E05 | |
| dc.title | Linearly Independent Products of Rectangularly Complementary Schur Functions | |
| dc.type | text |