The thirty-seven measures on permutations
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_ | 1866914753336573952 |
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| author | Snowden, Andrew |
| author_facet | Snowden, Andrew |
| contents | In recent work with Harman, we introduced a notion of measure on a class of finite relational structures. In this note, we consider measures on the class of permutations, i.e., finite sets with two total orders. Using a method of Nekrasov, we show that there are exactly 37 measures. Two of these measures lead to a new pre-Tannakian tensor category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08775 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The thirty-seven measures on permutations Snowden, Andrew Combinatorics Representation Theory In recent work with Harman, we introduced a notion of measure on a class of finite relational structures. In this note, we consider measures on the class of permutations, i.e., finite sets with two total orders. Using a method of Nekrasov, we show that there are exactly 37 measures. Two of these measures lead to a new pre-Tannakian tensor category. |
| title | The thirty-seven measures on permutations |
| topic | Combinatorics Representation Theory |
| url | https://arxiv.org/abs/2404.08775 |