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-  2018 

Note on reducibility of parabolic induction for hermitian quaternionic groups over p-adic fields

Keywords: Hermitian quaternionic groups, parabolically induced representations, reducibility, Jacquet modules, structural formula, R-groups

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Abstract:

Sa?etak In this paper we study the reducibility of certain class of parabolically induced representations of $p$-adic hermitian quaternionic groups. We use the Jacquet modules techniques and the theory of \($R$\)-groups to extend the reducibility results of Tadi? for split classical groups to the case of arbitrary hermitian quaternionic group

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