A Shifted Parking Function Symmetric Function
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910433953185792 |
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| author | Stanley, Richard P. |
| author_facet | Stanley, Richard P. |
| contents | We define a "shifted analogue" $\mathrm{SH}_n$ of the parking function symmetric function $\mathrm{PF}_n$. The expansion of $\mathrm{SH}_n$ in terms of three bases for shifted symmetric functions is explicitly described. We don't know a shifted analogue for parking functions themselves, but some desirable properties of such an analogue are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02164 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Shifted Parking Function Symmetric Function Stanley, Richard P. Combinatorics 05E05 (Primary), 05A15 (Secondary) We define a "shifted analogue" $\mathrm{SH}_n$ of the parking function symmetric function $\mathrm{PF}_n$. The expansion of $\mathrm{SH}_n$ in terms of three bases for shifted symmetric functions is explicitly described. We don't know a shifted analogue for parking functions themselves, but some desirable properties of such an analogue are discussed. |
| title | A Shifted Parking Function Symmetric Function |
| topic | Combinatorics 05E05 (Primary), 05A15 (Secondary) |
| url | https://arxiv.org/abs/2405.02164 |