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Preprint Sep 2026

Fence Posets, Good Gradings and Frobenius Maximal Parabolics

Let $\mathfrak L$ be a Frobenius maximal parabolic subalgebra of $\mathfrak{sl}_n$. For any $F\in\mathfrak L^*$ for which the Kirillov form $B_F(x,y)=F([x,y])$ is non-degenerate, let $\widehat F$ denote the associated principal element. We prove that the multiplicities of the eigenvalues of $\operatorname{ad}_{\widehat...

A. Giaquinto, J. Irving, A. Lauve et al. · 2 citations

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