The construction of a class of presentations for Specht modules
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866913923275423744 |
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| author | Friedmann, Tamar |
| author_facet | Friedmann, Tamar |
| contents | We build on the methods introduced by Friedmann, Hanlon, Stanley, and Wachs, and further developed by Brauner and Friedmann, to construct additional classes of presentations of Specht modules. We obtain these presentations by defining a linear operator which is a symmetrized sum of dual Garnir relations on the space of column tabloids. Our presentations apply to the vast majority of shapes of Specht modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07423 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The construction of a class of presentations for Specht modules Friedmann, Tamar Combinatorics Representation Theory 05E10, 20C30 We build on the methods introduced by Friedmann, Hanlon, Stanley, and Wachs, and further developed by Brauner and Friedmann, to construct additional classes of presentations of Specht modules. We obtain these presentations by defining a linear operator which is a symmetrized sum of dual Garnir relations on the space of column tabloids. Our presentations apply to the vast majority of shapes of Specht modules. |
| title | The construction of a class of presentations for Specht modules |
| topic | Combinatorics Representation Theory 05E10, 20C30 |
| url | https://arxiv.org/abs/2410.07423 |