engleski

Parabolic induction and Jacquet functors for metaplectic groups

In the paper is given a new formulation of geometric lemma for the metaplectic group over p–adic field F, analogous to the existing one for classical groups. This enables the authors to give a Zelevinsky type classification of irreducible, admissible, genuine representations of metaplectic groups. As an application of the Jacquet module technique obtained in the paper, the authors explicitly calculate Jacquet modules of even and odd Weil representations.

p-adic field ; metaplectic group ; parabolic induction ; Jacquet modules ; geometric lemma ; irreducible representations ; Weil representation

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