Note on reducibility of parabolic induction for hermitian quaternionic groups over $p$-adic fields
Grbac, Neven ; Jurčević Peček, Nevena
Mathematical Communications, Tome 23 (2018) no. 2, p. 181-196 / Harvested from Mathematical Communications
Text on Mathematical Communications
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\'{c} for split classical groups to the case of arbitrary hermitian quaternionic group.
Publié le : 2018-04-11
Classification:  Hermitian quaternionic groups; parabolically induced representations; reducibility; Jacquet modules; structural formula; R-groups,  22E50; 11F70 
@article{mc2367,
     author = {Grbac, Neven and Jur\v cevi\'c Pe\v cek, Nevena},
     title = {Note on reducibility of parabolic induction for hermitian quaternionic groups over $p$-adic fields},
     journal = {Mathematical Communications},
     volume = {23},
     number = {2},
     year = {2018},
     pages = { 181-196},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc2367}
}

Grbac, Neven; Jurčević Peček, Nevena. Note on reducibility of parabolic induction for hermitian quaternionic groups over $p$-adic fields. Mathematical Communications, Tome 23 (2018) no. 2, pp.  181-196. http://gdmltest.u-ga.fr/item/mc2367/