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Mathematical Communications, Vol. 23 No. 2, 2018.

Original scientific paper

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

Neven Grbac ; Department of Mathematics, University of Rijeka, Rijeka, Croatia
Nevena Jurčević Peček ; Department of Mathematics, University of Rijeka, Rijeka, Croatia

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Abstract

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 Tadić for split classical groups to the case of arbitrary hermitian quaternionic group.

Keywords

Hermitian quaternionic groups; parabolically induced representations; reducibility; Jacquet modules; structural formula; R-groups

Hrčak ID:

198688

URI

https://hrcak.srce.hr/198688

Publication date:

7.11.2018.

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