A computational study of certain Weyl modules for type G2 in characteristic 2
Abstract
Using the WeylModules GAP 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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