@article{CM_1991__80_1_15_0,
author = {Murnaghan, Fiona},
title = {Asymptotic behaviour of supercuspidal characters of $p$-adic $\mathrm {\mathbf {GSp}}_{(4)}$},
journal = {Compositio Mathematica},
pages = {15--54},
year = {1991},
publisher = {Kluwer Academic Publishers},
volume = {80},
number = {1},
mrnumber = {1127058},
zbl = {0744.22020},
language = {en},
url = {https://www.numdam.org/item/CM_1991__80_1_15_0/}
}
TY - JOUR
AU - Murnaghan, Fiona
TI - Asymptotic behaviour of supercuspidal characters of $p$-adic $\mathrm {\mathbf {GSp}}_{(4)}$
JO - Compositio Mathematica
PY - 1991
SP - 15
EP - 54
VL - 80
IS - 1
PB - Kluwer Academic Publishers
UR - https://www.numdam.org/item/CM_1991__80_1_15_0/
LA - en
ID - CM_1991__80_1_15_0
ER -
Murnaghan, Fiona. Asymptotic behaviour of supercuspidal characters of $p$-adic $\mathrm {\mathbf {GSp}}_{(4)}$. Compositio Mathematica, Tome 80 (1991) no. 1, pp. 15-54. https://www.numdam.org/item/CM_1991__80_1_15_0/
[A1] , The trace formula in invariant form, Ann. of Math. 114 (1981), 1-74. | Zbl | MR
[A2] , The local behaviour of weighted orbital integrals, Duke Math. J. 56 (1988), 223-293. | Zbl | MR
[A3] , The characters of supercuspidal representations as weighted orbital integrals, Proc. Indian Acad. Sci. 97 (1988), 3-19. | Zbl | MR
[D] , Computation of certain induced characters of p-adic groups, Math. Ann. 199 (1972), 229-240. | Zbl | MR
[HC] , "Admissible distributions on reductive p-adic groups," in Lie Theories and Their Applications, Queen's Papers in Pure and Applied Mathematics, Queen's University, Kingston, Ontario (1978), 281-347. | Zbl
[J] , The supercuspidal representations of U(2,1) and GSp4 over a local field via Hecke algebra isomorphisms, thesis, University of Chicago, 1989.
[LS] and , Induced unipotent classes, J. London Math. Soc. 19 (1979), 41-52. | Zbl | MR
[MW] and , Modèles de Whittaker dégénérés pour des groupes p-adiques, Math. Z. 196 (1987), 427-452. | Zbl | MR
[M] , Tamely ramified supercuspidal representations of some classical groups, preprint, 1988. | MR
[Mo1] , Representations of GSp(4) over a p-adic field: part 1, Comp. Math. 66 (1988), 237-284. | Zbl | MR | Numdam
[Mo2] , Representations of GSp(4) over a p-adic field: part 2, Comp. Math. 66 (1988), 285-328. | Zbl | MR | Numdam
[Mu] , Asymptotic behaviour of supercuspidal characters of p-adic GL3 and GL4: the generic unramified case, Pacific J. Math, to appear. | Zbl | MR
[R] , Orbital integrals in reductive groups, Ann. of Math. 96 (1972), 505-510. | Zbl | MR
[Re] , thesis, University of Warwick, 1974.
[Ro] , "Modèle de W hittaker et caractères de reprèsentations," in Non Commutative Harmonic Analysis, Lecture Notes in Math. 466, Springer-Verlag, Berlin, Heidelberg, New York (1974), 151-171. | Zbl | MR
[Rog] , An application of the building to orbital integrals, Comp. Math. 42 (1981), 417-423. | Zbl | MR | Numdam
[S] , Jr., in preparation.
[ST] and , Special functions on locally compact fields, Acta Math. 116 (1966), 279-309. | Zbl | MR





