Reducibility of certain representations for symplectic and odd-orthogonal groups

Chris Jantzen

Compositio Mathematica (1996)

  • Volume: 104, Issue: 1, page 55-63
  • ISSN: 0010-437X

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Jantzen, Chris. "Reducibility of certain representations for symplectic and odd-orthogonal groups." Compositio Mathematica 104.1 (1996): 55-63. <http://eudml.org/doc/90479>.

@article{Jantzen1996,
author = {Jantzen, Chris},
journal = {Compositio Mathematica},
keywords = {representation; Levi group; reducibility; parabolic induction},
language = {eng},
number = {1},
pages = {55-63},
publisher = {Kluwer Academic Publishers},
title = {Reducibility of certain representations for symplectic and odd-orthogonal groups},
url = {http://eudml.org/doc/90479},
volume = {104},
year = {1996},
}

TY - JOUR
AU - Jantzen, Chris
TI - Reducibility of certain representations for symplectic and odd-orthogonal groups
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 104
IS - 1
SP - 55
EP - 63
LA - eng
KW - representation; Levi group; reducibility; parabolic induction
UR - http://eudml.org/doc/90479
ER -

References

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  1. Aubert, A.-M.: Dualité dans le groupe de Grothendieck de la catégorie des représentations lisses de longueur finie d'un groupe reductif p-adique, Trans. Amer. Math. Soc.347 (1995) 2179-2189. Zbl0827.22005MR1285969
  2. Bernstein, J. Deligne, P. and Kazhdan, D.: Trace Paley-Wiener theorem for reductive p-adic groups, J. Analyse Math.47 (1986) 180-192. Zbl0634.22011MR874050
  3. Goldberg, D.: Reducibility of induced representations for Sp(2n) and SO(n), Amer. J. Math. 116 (1994) 1101-1151. Zbl0851.22021MR1296726
  4. Jantzen, C.: Degenerate principal series for symplectic and odd-orthogonal groups, to appear, Mem. Amer. Math. Soc.. Zbl0866.22016MR1346929
  5. Silberger, A.: The Knapp-Stein dimension theorem for p-adic groups, Proc. Amer. Math. Soc.68 (1978) 243-246; Correction, Proc. Amer. Math. Soc.76 (1979) 169-170. Zbl0415.22020MR492091
  6. Shahidi, F.: A proof of Langlands conjecture on Plancherel measure; complementary series for p-adic groups Ann. of Math.132 (1990) 273-330. Zbl0780.22005MR1070599
  7. Tadié, M.: Representations of p-adic symplectic groups, Comp. Math.90 (1994) 123-181. Zbl0797.22008MR1266251
  8. Tadié, M.: On reducibility of parabolic induction, preprinted in Math. Gottingesis19 (1993). 
  9. Zelevinsky, A.: Induced representations of reductive p-adic groups II, On irreducible representations of GL(n), Ann. Sci. École Norm. Sup.13 (1980) 165-210. Zbl0441.22014MR584084

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