Constructing composition factors for a linear group in polynomial time
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DOI: 10.1016/j.jalgebra.2020.02.018
Abstract: Abstract We present a Las Vegas polynomial-time algorithm that takes as input a subgroup of GL ( d , F q ) and, subject to the existence of certain oracles, determines its composition factors, provided… read more here.
Keywords: polynomial time; composition factors; factors linear; constructing composition ... 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