Branching rules of minuscule representations via a new partial order
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908847752347648 |
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| author | Green, R. M. Xu, Tianyuan |
| author_facet | Green, R. M. Xu, Tianyuan |
| contents | We introduce a new partial order on the set of all antichains of a fixed size in any poset. When applied to minuscule posets, these partial orders give rise to distributive lattices that appear in the branching rules for minuscule representations of complex simple Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06732 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Branching rules of minuscule representations via a new partial order Green, R. M. Xu, Tianyuan Combinatorics Primary: 06A07, Secondary: 05E10, 06A11 We introduce a new partial order on the set of all antichains of a fixed size in any poset. When applied to minuscule posets, these partial orders give rise to distributive lattices that appear in the branching rules for minuscule representations of complex simple Lie algebras. |
| title | Branching rules of minuscule representations via a new partial order |
| topic | Combinatorics Primary: 06A07, Secondary: 05E10, 06A11 |
| url | https://arxiv.org/abs/2402.06732 |