Growth Diagrams for the Schubert Multiplication
| dc.creator | Lenart, Cristian | |
| dc.date | 2009-01-26 | |
| dc.date | 2009-01-27 | |
| dc.date.accessioned | 2026-07-07T12:34:47Z | |
| dc.date.available | 2026-07-07T12:34:47Z | |
| dc.description | We present a partial generalization to Schubert calculus on flag varieties of the classical Littlewood-Richardson rule, in its version based on Schuetzenberger's jeu de taquin. More precisely, we describe certain structure constants expressing the product of a Schubert and a Schur polynomial. We use a generalization of Fomin's growth diagrams (for chains in Young's lattice of partitions) to chains of permutations in the so-called k-Bruhat order. Our work is based on the recent thesis of Beligan, in which he generalizes the classical plactic structure on words to chains in certain intervals in k-Bruhat order. Potential applications of our work include the generalization of the S_3-symmetric Littlewood-Richardson rule due to Thomas and Yong, which is based on Fomin's growth diagrams. | |
| dc.identifier | https://arxiv.org/abs/0901.4149 | |
| dc.identifier | http://arxiv.org/abs/0901.4149 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217563 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E05, 14M15 | |
| dc.title | Growth Diagrams for the Schubert Multiplication | |
| dc.type | text |