A minimal Gr\"obner basis for simple $\mathfrak{sl}_n$- or $\mathfrak{sp}_n$-modules
Representation Theory
2024-01-12 v2 Combinatorics
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.
Cite
@article{arxiv.2401.01634,
title = {A minimal Gr\"obner basis for simple $\mathfrak{sl}_n$- or $\mathfrak{sp}_n$-modules},
author = {Ghislain Fourier and León van Eß},
journal= {arXiv preprint arXiv:2401.01634},
year = {2024}
}
Comments
6 pages, clearified the monomial ordering