On partitions associated with elementary symmetric polynomials
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915528805711872 |
|---|---|
| author | Ballantine, Cristina Nazir, Shaheen Tenner, Bridget Eileen Westrem, Karlee Zhao, Chenchen |
| author_facet | Ballantine, Cristina Nazir, Shaheen Tenner, Bridget Eileen Westrem, Karlee Zhao, Chenchen |
| contents | The elementary symmetric partition function is a map on the set of partitions. It sends a partition lambda to the partition whose parts are the summands in the evaluation of the elementary symmetric function on the parts of lambda. These elementary symmetric partition functions have been studied before, and are related to plethysm. In this note, we study properties of the elementary symmetric partition functions, particularly related to injectivity and the number of parts appearing in their image partitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_01100 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On partitions associated with elementary symmetric polynomials Ballantine, Cristina Nazir, Shaheen Tenner, Bridget Eileen Westrem, Karlee Zhao, Chenchen Combinatorics 05A17, 05E05 The elementary symmetric partition function is a map on the set of partitions. It sends a partition lambda to the partition whose parts are the summands in the evaluation of the elementary symmetric function on the parts of lambda. These elementary symmetric partition functions have been studied before, and are related to plethysm. In this note, we study properties of the elementary symmetric partition functions, particularly related to injectivity and the number of parts appearing in their image partitions. |
| title | On partitions associated with elementary symmetric polynomials |
| topic | Combinatorics 05A17, 05E05 |
| url | https://arxiv.org/abs/2510.01100 |