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• W2917056617 abstract "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. Typically, the new class categorifies the basis of Doubilet, Rota, and Stein for matrix polynomial rings, indexed by bitableaux. Hence, our main result provides a link between the dual canonical basis (coming from quantum groups) and the DRS basis." @default.
• W2917056617 created "2019-03-02" @default.
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• W2917056617 date "2021-07-28" @default.
• W2917056617 modified "2023-09-25" @default.
• W2917056617 title "Robinson–Schensted–Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field" @default.
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• W2917056617 doi "https://doi.org/10.1090/ert/578" @default.
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