Geodesic
The Jordan-Hölder series of the locally analytic Steinberg representation
Documenta mathematica, Tome 19 (2014), pp. 647-671

Voir la notice de l'article provenant de la source EMS Press

We determine the composition factors of a Jordan-Hölder series including multiplicities of the locally analytic Steinberg representation. For this purpose, we prove the acyclicity of the evaluated locally analytic Tits complex giving rise to the Steinberg representation. Further we describe some analogue of the Jacquet functor applied to the irreducible principal series representation constructed in citeOS2.
DOI : 10.4171/dm/459
Classification : 11S37, 20G05, 22E50 
Benjamin Schraen; Sascha Orlik. The Jordan-Hölder series of the locally analytic Steinberg representation. Documenta mathematica, Tome 19 (2014), pp. 647-671. doi: 10.4171/dm/459
@article{10_4171_dm_459,
     author = {Benjamin Schraen and Sascha Orlik},
     title = {The {Jordan-H\"older} series of the locally analytic {Steinberg} representation},
     journal = {Documenta mathematica},
     pages = {647--671},
     year = {2014},
     volume = {19},
     doi = {10.4171/dm/459},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/459/}
}
TY  - JOUR
AU  - Benjamin Schraen
AU  - Sascha Orlik
TI  - The Jordan-Hölder series of the locally analytic Steinberg representation
JO  - Documenta mathematica
PY  - 2014
SP  - 647
EP  - 671
VL  - 19
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/459/
DO  - 10.4171/dm/459
ID  - 10_4171_dm_459
ER  - 
%0 Journal Article
%A Benjamin Schraen
%A Sascha Orlik
%T The Jordan-Hölder series of the locally analytic Steinberg representation
%J Documenta mathematica
%D 2014
%P 647-671
%V 19
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/459/
%R 10.4171/dm/459
%F 10_4171_dm_459

Cité par Sources :