Some results on simple supercuspidal representations of GL (F)

Journal of Number Theory - Tập 160 - Trang 117-147 - 2016
Moshe Adrian1, Baiying Liu2
1Department of Mathematics, Queens College, CUNY, Queens, NY 11367-1597, USA
2Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA

Tài liệu tham khảo

Adrian, 2015, The Langlands parameter of a simple supercuspidal representation: odd orthogonal groups, J. Ramanujan Math. Soc.

Adrian

Bushnell, 1987, Hereditary orders, Gauss sums and supercuspidal representations of GLN, J. Reine Angew. Math., 375/376, 184

Bushnell, 1983, Gauss Sums and p-Adic Division Algebras, vol. 987

Bushnell, 1985, Nonabelian congruence Gauss sums and p-adic simple algebras, Proc. Lond. Math. Soc., 50, 207, 10.1112/plms/s3-50.2.207

Bushnell, 2005, The essentially tame local Langlands correspondence, I, J. Amer. Math. Soc., 18, 685, 10.1090/S0894-0347-05-00487-X

Bushnell, 2005, The essentially tame local Langlands correspondence, II: totally ramified representations, Compos. Math., 141, 979, 10.1112/S0010437X05001363

Bushnell, 2006, The Local Langlands Conjecture for GL(2), vol. 335

Bushnell, 2010, The essentially tame local Langlands correspondence, III: the general case, Proc. Lond. Math. Soc. (3), 101, 497, 10.1112/plms/pdp053

Bushnell, 2014, Langlands parameters for epipelagic representations of GLn, Math. Ann., 358, 433, 10.1007/s00208-013-0962-x

Bushnell, 1993, The Admissible Dual of GLN via Restriction to Compact Open Subgroups, vol. 129

Cogdell, 2000, Notes on L-functions for GLn

J. Fintzen, B. Romano, Stable vectors in the Moy–Prasad filtration, Poster presented at the AWM Research Symposium 2015 at the University of Maryland, College Park.

Godement, 1972, Zeta Functions of Simple Algebras, vol. 260

Gross, 2010, Arithmetic invariants of discrete Langlands parameters, Duke Math. J., 154, 431, 10.1215/00127094-2010-043

Haines, 2010, Iwahori–Hecke algebras, J. Ramanujan Math. Soc., 25, 113

Harris, 2001, On the Geometry and Cohomology of Some Simple Shimura Varieties, vol. 151

Henniart, 2000, Une preuve simple des conjectures de Langlands for GL(n) sur un corps p-adique, Invent. Math., 139, 439, 10.1007/s002220050012

Jacquet, 1983, Rankin–Selberg convolutions, Amer. J. Math., 105, 367, 10.2307/2374264

Jiang, 2015, Towards the Jacquet conjecture on the local converse problem for p-adic GLn, J. Eur. Math. Soc. (JEMS), 17, 991, 10.4171/JEMS/524

Kaletha, 2015, Epipelagic L-packets and rectifying characters, Invent. Math., 202, 1, 10.1007/s00222-014-0566-4

Knightly, 2015, Simple supercuspidal representations of GL(n), Taiwanese J. Math., 19, 995, 10.11650/tjm.19.2015.3853

Lansky, 2003, A remark on the correspondence of representations between GL(n) and division algebras, Proc. Amer. Math. Soc., 131, 1641, 10.1090/S0002-9939-02-06918-6

Lemaire, 2009, Comparison of lattice filtrations and Moy–Prasad filtrations for classical groups, J. Lie Theory, 19, 29

Moy, 1986, Local constants and the tame Langlands correspondence, Amer. J. Math., 108, 863, 10.2307/2374518

Moy, 1994, Unrefined minimal K-types for p-adic groups, Invent. Math., 116, 393, 10.1007/BF01231566

Moy, 1996, Jacquet functors and unrefined minimal K-types, Comment. Math. Helv., 71, 98, 10.1007/BF02566411

Reeder, 2014, Epipelagic representations and invariant theory, J. Amer. Math. Soc., 27, 437, 10.1090/S0894-0347-2013-00780-8

Shahidi, 1984, Fourier transforms of intertwining operators and Plancherel measures for GL(n), Amer. J. Math., 106, 67, 10.2307/2374430

Vignéras, 2015, The pro-p-Iwahori Hecke algebra of a reductive p-adic group I, Compos. Math.

Xu

Thông tin
Thông tin xuất bản

Journal of Number Theory

Tập 160

117-147

Thông tin tác giả