Identifying Young diagrams among residue multisets
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866916215357702144 |
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| author | Rostam, Salim |
| author_facet | Rostam, Salim |
| contents | To any Young diagram we can associate the multiset of residues of all its nodes. This paper is concerned with the inverse problem: given a multiset of elements of Z/eZ, does it comes from a Young diagram? We give a full solution in level one and a partial answer in higher levels for Young multidiagrams, using Fayers's notions of core block and weight of a multipartition. We apply the result in level one to study a shift operation on partitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_13872 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Identifying Young diagrams among residue multisets Rostam, Salim Representation Theory Combinatorics 20C08 To any Young diagram we can associate the multiset of residues of all its nodes. This paper is concerned with the inverse problem: given a multiset of elements of Z/eZ, does it comes from a Young diagram? We give a full solution in level one and a partial answer in higher levels for Young multidiagrams, using Fayers's notions of core block and weight of a multipartition. We apply the result in level one to study a shift operation on partitions. |
| title | Identifying Young diagrams among residue multisets |
| topic | Representation Theory Combinatorics 20C08 |
| url | https://arxiv.org/abs/2011.13872 |