Representations of GS p ( 4 ) over a p -adic field : part 1

Allen Moy

Compositio Mathematica (1988)

  • Volume: 66, Issue: 3, page 237-284
  • ISSN: 0010-437X

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Moy, Allen. "Representations of $\mathrm {GS}p(4)$ over a $p$-adic field : part 1." Compositio Mathematica 66.3 (1988): 237-284. <http://eudml.org/doc/89904>.

@article{Moy1988,
author = {Moy, Allen},
journal = {Compositio Mathematica},
keywords = {p-adic field; GSp(4,F); group of linear transformations; symplectic form; irreducible admissible representations; nondegenerate representation; Hecke algebra; supercuspidal representation; discrete series},
language = {eng},
number = {3},
pages = {237-284},
publisher = {Kluwer Academic Publishers},
title = {Representations of $\mathrm \{GS\}p(4)$ over a $p$-adic field : part 1},
url = {http://eudml.org/doc/89904},
volume = {66},
year = {1988},
}

TY - JOUR
AU - Moy, Allen
TI - Representations of $\mathrm {GS}p(4)$ over a $p$-adic field : part 1
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 66
IS - 3
SP - 237
EP - 284
LA - eng
KW - p-adic field; GSp(4,F); group of linear transformations; symplectic form; irreducible admissible representations; nondegenerate representation; Hecke algebra; supercuspidal representation; discrete series
UR - http://eudml.org/doc/89904
ER -

References

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  1. [B] A. Borel, Admissible representations of a semisimple group over a local field with vectors fixed under an Iwahori subgroup, Invent. Math.35 (1976) 233-259. Zbl0334.22012MR444849
  2. [BT] F. Borel and J. Tits, Groupe réductifs sur un corps local I: Données radicielles valuées. Inst. Hautes Études Sci. Publ. Math.41 (1972) 5-251. Zbl0254.14017MR327923
  3. [HC] Harish- Chandra, Eisenstein series over finite fields. In: Browder (ed.) Functional Analysis and Related Fields. Springer-Verlag, Berlin-Heidelberg-New York (1969) pp. 76-88. Zbl0226.20049MR457579
  4. [HM1] R. Howe with the collaboration of A. Moy, Harish- ChandraHomomorphisms for p-adic Groups, CBMS Regional Conference Series No. 59, AMS, Providence RI (1985). Zbl0593.22014
  5. [HM2] R. Howe and A. Moy, Hecke algebra isomorphisms for GLn over a p-adic field, preprint. Zbl0715.22019
  6. [HM3] R. Howe and A. Moy, Minimal K-types for GLn over a p-adic field, preprint. 
  7. [I] N. Iwahori, Generalized Tits systems (Bruhat decomposition) on p-adic semisimple groups, in algebraic groups and discontinuous subgroups. Proc. Symp. Pure Math. IX, AMS, Providence RI (1966) pp. 71-83. Zbl0199.06901MR215858
  8. [M1] A. Moy, Representations of U(2, 1) over a p-adic field. Jour. für die reine und angewandteMath.372 (1987) 178-208. Zbl0589.22015MR863523
  9. [M2] A. Moy, A conjecture on minimal K-types for GLn over a p-adic field, to appear in proceedings of a conference on Number Theory held at Irsee. 
  10. [V] D. Vogan, Representations of Real Reductive Lie Groups. Birkhauser, Boston--Basel- Stuttgart (1981). Zbl0469.22012MR632407

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