Stable decompositions of certain representations of the finite general linear groups
classification
🧮 math.RT
keywords
representationcertainconsequencedecompositiondecompositionsdeducefinitefinitely
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We prove that the irreducible decomposition of the permutation representation of GL(n,q) on GL(n,q)/GL(n-m,q) stabilizes for large n. We deduce, as a consequence, a representation stability theorem for finitely generated VIC-modules.
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