The diagonal derivative of a skew Schur polynomial
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914688681377792 |
|---|---|
| author | Grinberg, Darij Korniichuk, Nazar Molokanov, Kostiantyn Khomych, Severyn |
| author_facet | Grinberg, Darij Korniichuk, Nazar Molokanov, Kostiantyn Khomych, Severyn |
| contents | We prove a formula for the image of a skew Schur polynomial $s_{λ/μ}\left( x_{1}, x_{2}, \ldots, x_{N}\right) $ under the differential operator $\nabla:= \dfrac{\partial}{\partial x_{1}} +\dfrac{\partial}{\partial x_{2}}+\cdots+\dfrac{\partial}{\partial x_{N}}$. This generalizes a formula of Weigandt for $\nabla\left( s_λ\right) $. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14217 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The diagonal derivative of a skew Schur polynomial Grinberg, Darij Korniichuk, Nazar Molokanov, Kostiantyn Khomych, Severyn Combinatorics 05E05, 11P81 We prove a formula for the image of a skew Schur polynomial $s_{λ/μ}\left( x_{1}, x_{2}, \ldots, x_{N}\right) $ under the differential operator $\nabla:= \dfrac{\partial}{\partial x_{1}} +\dfrac{\partial}{\partial x_{2}}+\cdots+\dfrac{\partial}{\partial x_{N}}$. This generalizes a formula of Weigandt for $\nabla\left( s_λ\right) $. |
| title | The diagonal derivative of a skew Schur polynomial |
| topic | Combinatorics 05E05, 11P81 |
| url | https://arxiv.org/abs/2402.14217 |