p-Filtrations of dual Weyl modules
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DOI: 10.1016/j.aim.2019.05.028
Abstract: Let $G$ be a semisimple algebraic group over a field of characteristic $p > 0$. We prove that the dual Weyl modules for $G$ all have $p$-filtrations when $p$ is not too small. Moreover, we… read more here.
Keywords: filtrations dual; modules filtrations; weyl modules; dual weyl ... See more keywords
Globally irreducible Weyl modules
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DOI: 10.1016/j.jalgebra.2016.11.038
Abstract: Abstract In the representation theory of split reductive algebraic groups, it is well known that every Weyl module with minuscule highest weight is irreducible over every field. Also, the adjoint representation of E 8 is… read more here.
Keywords: irreducible weyl; irreducible every; weyl; globally irreducible ... See more keywords
Maximal Weight Composition Factors for Weyl Modules
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DOI: 10.4153/cmb-2016-055-4
Abstract: Abstract Fix an irreducible (finite) root system $R$ and a choice of positive roots. For any algebraically closed field $k$ consider the almost simple, simply connected algebraic group ${{G}_{k}}$ over $k$ with root system $k$… read more here.
Keywords: maximal weight; factors weyl; root; weight composition ... See more keywords