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Preprint
The diagonal derivative of a skew Schur polynomial
arXiv.org
22 Feb 2024
Abstract
We prove a formula for the image of a skew Schur polynomial
$s_{\lambda/\mu}\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_{\lambda}\right) $.
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Details
- Title
- The diagonal derivative of a skew Schur polynomial
- Creators
- Darij GrinbergNazar KorniichukKostiantyn MolokanovSeveryn Khomych
- Publication Details
- arXiv.org
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991021862242404721