Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Hermitian quaternionic groups; parabolically induced representations; reducibility; Jacquet modules; structural formula; R-groups
Hrčak ID:
198688
URI
Datum izdavanja:
7.11.2018.
Posjeta: 786 *