Geodesic
Branching Rules for Ramified Principal Series Representations of GL(3) over a p-adic Field
Canadian journal of mathematics, Tome 62 (2010) no. 1, pp. 34-51

Voir la notice de l'article provenant de la source Cambridge

DOI

We decompose the restriction of ramified principal series representations of the $p$ -adic group $\text{GL}\left( 3,\,\text{k} \right)$ to its maximal compact subgroup $K\,=\,\text{GL}\left( 3,\,\mathcal{R} \right)$ . Its decomposition is dependent on the degree of ramification of the inducing characters and can be characterized in terms of filtrations of the Iwahori subgroup in $K$ . We establish several irreducibility results and illustrate the decomposition with some examples.
DOI : 10.4153/CJM-2010-003-5
Mots-clés : principal series representations, branching rules, maximal compact subgroups, representations of p-adic groups 
Campbell, Peter S.; Nevins, Monica. Branching Rules for Ramified Principal Series Representations of GL(3) over a p-adic Field. Canadian journal of mathematics, Tome 62 (2010) no. 1, pp. 34-51. doi: 10.4153/CJM-2010-003-5
@article{10_4153_CJM_2010_003_5,
     author = {Campbell, Peter S. and Nevins, Monica},
     title = {Branching {Rules} for {Ramified} {Principal} {Series} {Representations} of {GL(3)} over a p-adic {Field}},
     journal = {Canadian journal of mathematics},
     pages = {34--51},
     year = {2010},
     volume = {62},
     number = {1},
     doi = {10.4153/CJM-2010-003-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-003-5/}
}
TY  - JOUR
AU  - Campbell, Peter S.
AU  - Nevins, Monica
TI  - Branching Rules for Ramified Principal Series Representations of GL(3) over a p-adic Field
JO  - Canadian journal of mathematics
PY  - 2010
SP  - 34
EP  - 51
VL  - 62
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-003-5/
DO  - 10.4153/CJM-2010-003-5
ID  - 10_4153_CJM_2010_003_5
ER  - 
%0 Journal Article
%A Campbell, Peter S.
%A Nevins, Monica
%T Branching Rules for Ramified Principal Series Representations of GL(3) over a p-adic Field
%J Canadian journal of mathematics
%D 2010
%P 34-51
%V 62
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-003-5/
%R 10.4153/CJM-2010-003-5
%F 10_4153_CJM_2010_003_5

Cité par Sources :