Combinatorial wall-crossing and the Mullineux involution
Abstract In this paper, we define the combinatorial wall-crossing transformation and the generalized column regularization on partitions and prove that a certain composition of these two transformations has the same effect on the one-row partition (n). As corollaries we explicitly des...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Springer US
2021
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| Online Access: | https://hdl.handle.net/1721.1/131928 |
| _version_ | 1826209308988145664 |
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| author | Dimakis, Panagiotis Yue, Guangyi |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Dimakis, Panagiotis Yue, Guangyi |
| author_sort | Dimakis, Panagiotis |
| collection | MIT |
| description | Abstract
In this paper, we define the combinatorial wall-crossing transformation and the generalized column regularization on partitions and prove that a certain composition of these two transformations has the same effect on the one-row partition (n). As corollaries we explicitly describe the quotients of the partitions which arise in this process. We also prove that the one-row partition is the unique partition that stays regular at any step of the wall-crossing transformation. |
| first_indexed | 2024-09-23T14:20:49Z |
| format | Article |
| id | mit-1721.1/131928 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:20:49Z |
| publishDate | 2021 |
| publisher | Springer US |
| record_format | dspace |
| spelling | mit-1721.1/1319282023-02-24T17:48:00Z Combinatorial wall-crossing and the Mullineux involution Dimakis, Panagiotis Yue, Guangyi Massachusetts Institute of Technology. Department of Mathematics Abstract In this paper, we define the combinatorial wall-crossing transformation and the generalized column regularization on partitions and prove that a certain composition of these two transformations has the same effect on the one-row partition (n). As corollaries we explicitly describe the quotients of the partitions which arise in this process. We also prove that the one-row partition is the unique partition that stays regular at any step of the wall-crossing transformation. 2021-09-20T17:30:58Z 2021-09-20T17:30:58Z 2018-09-14 2020-09-24T21:30:06Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131928 en https://doi.org/10.1007/s10801-018-0839-x Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Springer Science+Business Media, LLC, part of Springer Nature application/pdf Springer US Springer US |
| spellingShingle | Dimakis, Panagiotis Yue, Guangyi Combinatorial wall-crossing and the Mullineux involution |
| title | Combinatorial wall-crossing and the Mullineux involution |
| title_full | Combinatorial wall-crossing and the Mullineux involution |
| title_fullStr | Combinatorial wall-crossing and the Mullineux involution |
| title_full_unstemmed | Combinatorial wall-crossing and the Mullineux involution |
| title_short | Combinatorial wall-crossing and the Mullineux involution |
| title_sort | combinatorial wall crossing and the mullineux involution |
| url | https://hdl.handle.net/1721.1/131928 |
| work_keys_str_mv | AT dimakispanagiotis combinatorialwallcrossingandthemullineuxinvolution AT yueguangyi combinatorialwallcrossingandthemullineuxinvolution |