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arXiv · 2402.14217

The diagonal derivative of a skew Schur polynomial

Darij Grinberg·Nazar Korniichuk·Kostiantyn Molokanov·Severyn Khomych
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Abstract

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) $.

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Darij Grinberg, Nazar Korniichuk, Kostiantyn Molokanov, Severyn Khomych. 2024-02-22. The diagonal derivative of a skew Schur polynomial. https://arxiv.org/abs/2402.14217

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