Modular Principal Series Representations
نویسنده
چکیده
Recently, there has been considerable progress in classifying the irreducible representations of Iwahori–Hecke algebras at roots of unity. Here, we present an application of these results to l-modular Harish–Chandra series for a finite group of Lie type G(q). Under some mild condition on l, we show that the l-modular principal series representations of G(q) are naturally parametrized by a subset of the set of complex irreducible characters of the Weyl group of G(q). We also show that this subset is “generic” in a precise sense.
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