We construct new "standard modules" for the representations of general linear groups over a local non-archimedean field. The construction uses a modified Robinson-Schensted-Knuth correspondence for Zelevinsky's multisegments.
On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-archimedean field
On certain representations of the general linear group over a non-archimedean local field
Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field
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