Intégrales orbitales nilpotentes et endoscopie pour les groupes classiques non ramifiés
Astérisque, no. 269 (2001) , 464 p.
@book{AST_2001__269__1_0,
     author = {Waldspurger, Jean-Loup},
     title = {Int\'egrales orbitales nilpotentes et endoscopie pour les groupes classiques non ramifi\'es},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {269},
     year = {2001},
     zbl = {0965.22012},
     mrnumber = {1817880},
     language = {fr},
     url = {http://www.numdam.org/item/AST_2001__269__1_0}
}
Waldspurger, Jean-Loup. Intégrales orbitales nilpotentes et endoscopie pour les groupes classiques non ramifiés. Astérisque, no. 269 (2001), 464 p. http://www.numdam.org/item/AST_2001__269__1_0/

[A1] M. Assem. On stability and endoscopic transfer of unipotent orbital integrals on p -adic symplectic groups, Memoirs AMS 635 (1998). | MR 1415560 | Zbl 0907.22012

[A2] M. Assem. Remarks on the transfer factors for unipotent orbital integrals in p -adic classical split groups, prépublication 1996. | MR 1748912 | Zbl 0939.22006

[BM] D. Barbasch, A. Moy. Local character expansions, Annales Sc. ENS 30 (1997), 553-568. | Numdam | MR 1474804 | Zbl 0885.22021

[C] R. Carter. Finite groups of Lie type ; conjugacy classes and complex characters, Wiley Interscience Publ. 1993. | MR 1266626

[G] M. Geck. Character sheaves and generalized Gelfand-Graev characters, Proc. London Math. Soc. 78 (1999), 139-166. | Article | MR 1658164 | Zbl 1035.20011

[H] T. Hales. Unipotent classes induced from endoscopic groups, prépublication 1987.

[HCvD] Harish-Chandra, Van Dijk. Harmonic analysis on reductive p-adic groups, Springer L.N. 162, 1970. | MR 414797 | Zbl 0202.41101

[HS] R. Hotta, T. Springer. A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups, Inventiones Math. 41 (1977), 113-127. | Article | MR 486164 | Zbl 0389.20037

[HW] G. Hardy, E. Wright. The theory of numbers, Oxford-Clarendon Press 1971.

[Kaw1] N. Kawanaka. Fourier transforms of nilpotently supported invariant functions on a simple Lie algebra over a finite field, Inventiones Math. 69 (1982), 411-435. | Article | MR 679766 | Zbl 0495.22004

[Kaw2] N. Kawanaka. Generalized Gelfand-Graev representations and Ennola duality, in Algebraic groups and related topics, Adv. St. in Pure Math. 6 (1985), 175-206. | Article | MR 803335 | Zbl 0573.20038

[Kaz] D. Kazhdan. Proof of Springer's hypothesis, Israël J. Math. 28 (1977), 272-286. | Article | MR 486181 | Zbl 0391.22006

[KL] D. Kazhdan, G. Lusztig. Fixed point varieties on affine flag manifolds, Israel J. Math. 62 (1988), 129-168. | Article | MR 947819 | Zbl 0658.22005

[Ke] G. Kempken. Induced conjugacy classes in classical Lie-algebras, Math. Sem. der Univ. Hambourg, 1982. | MR 732807 | Zbl 0495.17003

[Ko] R. Kottwitz. Stable trace formula : cuspidal tempered terms, Duke Math. J. 51 (1984), 611-650. | Article | MR 757954 | Zbl 0576.22020

[LL] J.-P. Labesse, R. Langlands. L-indistinguishability for SL2, J. Can. Math. 31 (1979), 726-785. | MR 540902 | Zbl 0421.12014

[Lan] R. Langlands. Les débuts d'une formule des traces stable, Publ. Math. Univ. Paris VII, 1982. | MR 697567 | Zbl 0532.22017

[LS] R. Langlands, D. Shelstad. On the definition of transfer factors, Math. Ann. 278 (1987), 219-271. | Article | MR 909227 | Zbl 0644.22005

[Lau] G. Laumon. Transformation de Fourier, constantes d'équations fonctionnelles et conjecture de Weil, Publ. Math. IHES 65 (1987), 131-210. | Article | Numdam | MR 908218 | Zbl 0641.14009

[Lu1] G. Lusztig. Fourier transform on a semi-simple Lie algebra over 𝔽 q , in Algebraic groups, Utrecht 1986, Springer L.N. 1271 (1987), 177-188. | Article | MR 911139 | Zbl 0654.20047

[Lu2] G. Lusztig. Green functions and characters sheaves, Annals of Math. 131 (1990), 355-408. | Article | MR 1043271 | Zbl 0695.20024

[Lu3] G. Lusztig. Character sheaves I, Adv. in Math. 56 (1985), 193-237 | Article | MR 792706 | Zbl 0586.20018

G. Lusztig. Character sheaves II, Adv. in Math. 57 (1985), 226-265 | Article | MR 806210 | Zbl 0586.20019

G. Lusztig. Character sheaves III, Adv. in Math. 57 (1985), 266-315 | Article | MR 806210 | Zbl 0594.20031

G. Lusztig. Character sheaves IV, Adv. in Math. 59 (1986), 1-63 | Article | MR 825086 | Zbl 0602.20035

G. Lusztig. Character sheaves V, Adv. in Math. 61 (1986), 103-155. | Article | MR 849848 | Zbl 0602.20036

[Lu4] G. Lusztig. Intersection cohomology complexes on a reductive group, Inventiones Math. 75 (1984), 205-272. | Article | MR 732546 | Zbl 0547.20032

[Lu5] G. Lusztig. A unipotent support for irreducible representations, Adv. in Math. 94 (1992), 139-179. | Article | MR 1174392 | Zbl 0789.20042

[Lu6] G. Lusztig. On the character values of finite Chevalley groups at unipotent elements, J. of Algebra 104 (1986), 146-194. | Article | MR 865898 | Zbl 0603.20037

[Lu7] G. Lusztig. Irreducible representations of finite classical groups, Inventiones Math. 43 (1977), 125-175. | Article | MR 463275 | Zbl 0372.20033

[Sh1] T. Shoji. Unipotent characters of finite classical groups, in Finite reductive groups, related structures and representations, M. Cabanes ed., Progress in Math. 141, Birkhäuser, 1997. | MR 1429881 | Zbl 0868.20035

[Sh2] T. Shoji. On the Green polynomials of classical groups, Inventiones Math. 74 (1983), 239-267. | Article | MR 723216 | Zbl 0525.20027

[Sl] P. Slodowy. Simple singularities and semi-simple algebraic groups, Springer L.N. 815, 1980. | MR 584445 | Zbl 0441.14002

[Spa] N. Spaltenstein. Classes unipotentes et sous-groupes de Borel, Springer L.N. 946, 1982. | MR 672610 | Zbl 0486.20025

[Spr] T. Springer. Trigonometric sums, Green functions of finite groups and representations of Weyl groups, Inventiones Math. 36 (1976), 173-207. | Article | MR 442103 | Zbl 0374.20054

[W1] J.-L. Waldspurger. Quelques résultats de finitude concernant les distributions invariantes sur les algèbres de Lie p-adiques, prépublication.

[W2] J.-L. Waldspurger. Le lemme fondamental implique le transfert, Compositio Math. 105 (1997), 153-236. | Article | MR 1440722 | Zbl 0871.22005

[W3] J.-L. Waldspurger. Transformation de Fourier et endoscopie, Journal of Lie Th. 10 (2000), 195-206. | MR 1747840 | Zbl 1007.11026

[Z] A. V. Zelevinsky. Representations of finite classical groups, a Hopf algebra approach, Springer L.N. 869, 1981. | MR 643482 | Zbl 0465.20009