A note on quantum products of Schubert classes in a Grassmannian
| dc.creator | Anderson, Dave | |
| dc.date | 2006-08-22 | |
| dc.date.accessioned | 2026-07-07T07:22:02Z | |
| dc.date.available | 2026-07-07T07:22:02Z | |
| dc.description | Given two Schubert classes $σ_λ$ and $σ_μ$ in the quantum cohomology of a Grassmannian, we construct a partition $ν$, depending on $λ$ and $μ$, such that $σ_ν$ appears with coefficient 1 in the lowest (or highest) degree part of the quantum product $σ_λ\starσ_μ$. To do this, we show that for any two partitions $λ$ and $μ$, contained in a $k$-by-$(n-k)$ rectangle and such that the 180-degree rotation of one does not overlap the other, there is a third partition $ν$, also contained in the rectangle, such that the Littlewood-Richardson number $c_{λμ}^ν$ is 1. | |
| dc.description | 9 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0608546 | |
| dc.identifier | http://arxiv.org/abs/math/0608546 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115515 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 05E10, 14M15 | |
| dc.title | A note on quantum products of Schubert classes in a Grassmannian | |
| dc.type | text |