On induction of class functions

نویسندگان

چکیده

Let G G be a connected reductive group defined over finite field alttext="bold upper F Subscript q"> F q encoding="application/x-tex">\mathbf {F}_q and let L"> L encoding="application/x-tex">L Levi subgroup (defined ) of parabolic P"> P encoding="application/x-tex">P . We define linear map from class functions on L left-parenthesis bold q Baseline right-parenthesis"> ( stretchy="false">) encoding="application/x-tex">L(\mathbf {F}_q) to G encoding="application/x-tex">G(\mathbf This is independent the choice show that for large alttext="q"> encoding="application/x-tex">q this coincides with known cohomological induction (whose definition involves ).

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ژورنال

عنوان ژورنال: Representation Theory of The American Mathematical Society

سال: 2021

ISSN: ['1088-4165']

DOI: https://doi.org/10.1090/ert/561