@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}, publisher = {Kluwer Academic Publishers}, volume = {80}, number = {1}, year = {1991}, mrnumber = {1127058}, zbl = {0744.22020}, language = {en}, url = {http://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 - http://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. http://www.numdam.org/item/CM_1991__80_1_15_0/
[A1] The trace formula in invariant form, Ann. of Math. 114 (1981), 1-74. | MR | Zbl
,[A2] The local behaviour of weighted orbital integrals, Duke Math. J. 56 (1988), 223-293. | MR | Zbl
,[A3] The characters of supercuspidal representations as weighted orbital integrals, Proc. Indian Acad. Sci. 97 (1988), 3-19. | MR | Zbl
,[D] Computation of certain induced characters of p-adic groups, Math. Ann. 199 (1972), 229-240. | MR | Zbl
,[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] Induced unipotent classes, J. London Math. Soc. 19 (1979), 41-52. | MR | Zbl
and ,[MW] Modèles de Whittaker dégénérés pour des groupes p-adiques, Math. Z. 196 (1987), 427-452. | MR | Zbl
and ,[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. | Numdam | MR | Zbl
,[Mo2] Representations of GSp(4) over a p-adic field: part 2, Comp. Math. 66 (1988), 285-328. | Numdam | MR | Zbl
,[Mu] Asymptotic behaviour of supercuspidal characters of p-adic GL3 and GL4: the generic unramified case, Pacific J. Math, to appear. | MR | Zbl
,[R] Orbital integrals in reductive groups, Ann. of Math. 96 (1972), 505-510. | MR | Zbl
,[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. | MR | Zbl
, "[Rog] An application of the building to orbital integrals, Comp. Math. 42 (1981), 417-423. | Numdam | MR | Zbl
,[S]
, Jr., in preparation.[ST] Special functions on locally compact fields, Acta Math. 116 (1966), 279-309. | MR | Zbl
and ,