PBW bases and marginally large tableaux in types B and C
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2017
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| _version_ | 1866908360837693440 |
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| author | Criswell, Jackson Salisbury, Ben Tingley, Peter |
| author_facet | Criswell, Jackson Salisbury, Ben Tingley, Peter |
| contents | We explicitly describe the isomorphism between two combinatorial realizations of Kashiwara's infinity crystal in types B and C. The first realization is in terms of marginally large tableaux and the other is in terms of Kostant partitions coming from PBW bases. We also discuss a stack notation for Kostant partitions which simplifies that realization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1708_04311 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | PBW bases and marginally large tableaux in types B and C Criswell, Jackson Salisbury, Ben Tingley, Peter Combinatorics Quantum Algebra We explicitly describe the isomorphism between two combinatorial realizations of Kashiwara's infinity crystal in types B and C. The first realization is in terms of marginally large tableaux and the other is in terms of Kostant partitions coming from PBW bases. We also discuss a stack notation for Kostant partitions which simplifies that realization. |
| title | PBW bases and marginally large tableaux in types B and C |
| topic | Combinatorics Quantum Algebra |
| url | https://arxiv.org/abs/1708.04311 |