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arXiv · 2401.01634

A minimal Gr\"obner basis for simple $\mathfrak{sl}_n$- or $\mathfrak{sp}_n$-modules

Ghislain Fourier·León van Eß
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Abstract

We explicitly provide minimal Gr\"obner bases for simple, finite-dimensional modules of complex Lie algebras of types A and C, using a homogeneous ordering that is compatible with the PBW filtration on the universal enveloping algebras.

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BibTeXRIS

Ghislain Fourier, León van Eß. 2024-01-03. A minimal Gr\"obner basis for simple $\mathfrak{sl}_n$- or $\mathfrak{sp}_n$-modules. https://arxiv.org/abs/2401.01634

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