Lusztig data of Kashiwara-Nakashima tableaux in type D
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866929736500903936 |
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| author | Jang, Il-Seung Kwon, Jae-Hoon |
| author_facet | Jang, Il-Seung Kwon, Jae-Hoon |
| contents | We describe the embedding from the crystal of Kashiwara-Nakashima tableaux in type $D$ of an arbitrary shape into that of $\mathbf{i}$-Lusztig data associated to a family of reduced expressions $\mathbf{i}$ which are compatible with the maximal Levi subalgebra of type $A$. The embedding is described explicitly in terms of well-known combinatorics of type $A$ including the Schützenberger's jeu de taquin and an analog of RSK algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_11191 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Lusztig data of Kashiwara-Nakashima tableaux in type D Jang, Il-Seung Kwon, Jae-Hoon Quantum Algebra Combinatorics 17B37, 22E46, 05E10 We describe the embedding from the crystal of Kashiwara-Nakashima tableaux in type $D$ of an arbitrary shape into that of $\mathbf{i}$-Lusztig data associated to a family of reduced expressions $\mathbf{i}$ which are compatible with the maximal Levi subalgebra of type $A$. The embedding is described explicitly in terms of well-known combinatorics of type $A$ including the Schützenberger's jeu de taquin and an analog of RSK algorithm. |
| title | Lusztig data of Kashiwara-Nakashima tableaux in type D |
| topic | Quantum Algebra Combinatorics 17B37, 22E46, 05E10 |
| url | https://arxiv.org/abs/2001.11191 |