A minimal Gröbner basis for simple \mathfraksl_n- or \mathfraksp_n-modules

2024/01/03 by Fourier, Ghislain, van Eß, León
#13P10 #17B10 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2401.01634

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.

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