Tableau evacuation and webs
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866929260281724928 |
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| author | Patrias, Rebecca Pechenik, Oliver |
| author_facet | Patrias, Rebecca Pechenik, Oliver |
| contents | Webs are certain planar diagrams embedded in disks. They index and describe bases of tensor products of representations of $\mathfrak{sl}_2$ and $\mathfrak{sl}_3$. There are explicit bijections between webs and certain rectangular tableaux. Work of Petersen-Pylyavskyy-Rhoades (2009) and Russell (2013) shows that these bijections relate web rotation to tableau promotion. We describe the analogous relation between web reflection and tableau evacuation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_04989 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Tableau evacuation and webs Patrias, Rebecca Pechenik, Oliver Combinatorics Representation Theory Webs are certain planar diagrams embedded in disks. They index and describe bases of tensor products of representations of $\mathfrak{sl}_2$ and $\mathfrak{sl}_3$. There are explicit bijections between webs and certain rectangular tableaux. Work of Petersen-Pylyavskyy-Rhoades (2009) and Russell (2013) shows that these bijections relate web rotation to tableau promotion. We describe the analogous relation between web reflection and tableau evacuation. |
| title | Tableau evacuation and webs |
| topic | Combinatorics Representation Theory |
| url | https://arxiv.org/abs/2109.04989 |