@article{ASENS_2005_4_38_6_951_0, author = {S\'echerre, Vincent}, title = {Repr\'esentations lisses de ${\mathrm {GL}}_{m}\left(D\right)$, {III} : types simples}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {951--977}, publisher = {Elsevier}, volume = {4e s{\'e}rie, 38}, number = {6}, year = {2005}, doi = {10.1016/j.ansens.2005.10.003}, mrnumber = {2216835}, zbl = {1106.22014}, language = {fr}, url = {http://archive.numdam.org/articles/10.1016/j.ansens.2005.10.003/} }
TY - JOUR AU - Sécherre, Vincent TI - Représentations lisses de ${\mathrm {GL}}_{m}\left(D\right)$, III : types simples JO - Annales scientifiques de l'École Normale Supérieure PY - 2005 SP - 951 EP - 977 VL - 38 IS - 6 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.ansens.2005.10.003/ DO - 10.1016/j.ansens.2005.10.003 LA - fr ID - ASENS_2005_4_38_6_951_0 ER -
%0 Journal Article %A Sécherre, Vincent %T Représentations lisses de ${\mathrm {GL}}_{m}\left(D\right)$, III : types simples %J Annales scientifiques de l'École Normale Supérieure %D 2005 %P 951-977 %V 38 %N 6 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.ansens.2005.10.003/ %R 10.1016/j.ansens.2005.10.003 %G fr %F ASENS_2005_4_38_6_951_0
Sécherre, Vincent. Représentations lisses de ${\mathrm {GL}}_{m}\left(D\right)$, III : types simples. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 38 (2005) no. 6, pp. 951-977. doi : 10.1016/j.ansens.2005.10.003. http://archive.numdam.org/articles/10.1016/j.ansens.2005.10.003/
[1] Le “centre” de Bernstein, in: Representations of Reductive Groups over a Local Field, Travaux en Cours, Hermann, Paris, 1984, pp. 1-32, written by P. Deligne. | Zbl
,[2] Building of and centralizers, Transform. Groups 7 (1) (2002) 15-50. | MR | Zbl
, ,[3] Hereditary orders and embeddings of local fields in simple algebras, J. Algebra 204 (1) (1998) 324-336. | MR | Zbl
,[4] Minimal strata for , J. reine angew. Math. 514 (1999) 199-236. | MR | Zbl
,[5] Pure elements and intertwining classes of simple strata in local central simple algebras, Comm. Algebra 28 (11) (2000) 5405-5442. | MR | Zbl
, ,[6] The Admissible Dual of via Compact Open Subgroups, Princeton University Press, Princeton, NJ, 1993. | MR | Zbl
, ,[7] Smooth representations of reductive p-adic groups: structure theory via types, Proc. London Math. Soc. (3) 77 (3) (1998) 582-634. | MR | Zbl
, ,[8] Semisimple types in , Compositio Math. 119 (1) (1999) 53-97. | MR | Zbl
, ,[9] Continuation of hereditary orders in local central simple algebras, J. Number Theory 77 (1) (1999) 1-26. | MR | Zbl
,[10] Level zero types and Hecke algebras for local central simple algebras, J. Number Theory 91 (1) (2001) 92-125. | MR | Zbl
, , ,[11] Harish-Chandra Homomorphisms for p-Adic Groups, CBMS Regional Conference Series in Mathematics, vol. 59, Conference Board of the Mathematical Sciences, Washington, DC, 1985, with the collaboration of Allen Moy. | MR | Zbl
,[12] Maximal Orders, London Mathematical Society Monographs, vol. 5, Academic Press (A subsidiary of Harcourt Brace Jovanovich, Publishers), London, 1975. | MR | Zbl
,[13] Représentations lisses de , I : caractères simples, Bull. Soc. Math. France 132 (3) (2004) 327-396. | Numdam | MR | Zbl
,[14] Représentations lisses de , II : β-extensions, Compositio Math. 141 (2005) 1531-1550. | Zbl
,[15] Semisimple characters for p-adic classical groups, Duke Math. J. 127 (1) (2005) 123-173. | MR | Zbl
,[16] More on embeddings of local fields in simple algebras, J. Number Theory 77 (1) (1999) 51-61. | MR | Zbl
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