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

Abstract

We explicitly provide minimal Gröbner 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.

6 pages, clearified the monomial ordering