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Mathematics > Representation Theory
Title: A minimal Gröbner basis for simple $\mathfrak{sl}_n$- or $\mathfrak{sp}_n$-modules
(Submitted on 3 Jan 2024 (v1), last revised 11 Jan 2024 (this version, v2))
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.
Submission history
From: Ghislain Fourier [view email][v1] Wed, 3 Jan 2024 09:14:11 GMT (11kb)
[v2] Thu, 11 Jan 2024 13:27:17 GMT (11kb)
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