A computational study of certain Weyl modules for type G₂ in characteristic 2

2024/12/15 by Doty, Stephen
#20G05 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2412.11291

Abstract

Using the WeylModules \textsfGAP Package, we compute structural information about certain Weyl modules for type G₂ in characteristic 2. This gives counterexamples to two conjectures stated by S.~Donkin in 1990. It also illustrates capabilities of the package, which can in principle be applied to Weyl modules for any simple, simply-connected algebraic group in any characteristic, subject of course to time and space limitations of computational resources.

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