@article{ASENS_2001_4_34_2_223_0, author = {Guillermou, St\'ephane}, title = {Index of transversally elliptic $D$-modules}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {223--265}, publisher = {Elsevier}, volume = {Ser. 4, 34}, number = {2}, year = {2001}, doi = {10.1016/s0012-9593(00)01060-0}, mrnumber = {1841878}, zbl = {1011.32004}, language = {en}, url = {http://www.numdam.org/articles/10.1016/s0012-9593(00)01060-0/} }
TY - JOUR AU - Guillermou, Stéphane TI - Index of transversally elliptic $D$-modules JO - Annales scientifiques de l'École Normale Supérieure PY - 2001 SP - 223 EP - 265 VL - 34 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/s0012-9593(00)01060-0/ DO - 10.1016/s0012-9593(00)01060-0 LA - en ID - ASENS_2001_4_34_2_223_0 ER -
%0 Journal Article %A Guillermou, Stéphane %T Index of transversally elliptic $D$-modules %J Annales scientifiques de l'École Normale Supérieure %D 2001 %P 223-265 %V 34 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/s0012-9593(00)01060-0/ %R 10.1016/s0012-9593(00)01060-0 %G en %F ASENS_2001_4_34_2_223_0
Guillermou, Stéphane. Index of transversally elliptic $D$-modules. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 34 (2001) no. 2, pp. 223-265. doi : 10.1016/s0012-9593(00)01060-0. http://www.numdam.org/articles/10.1016/s0012-9593(00)01060-0/
[1] Elliptic Operators and Compact Groups, Lect. Notes in Math., 401, Springer-Verlag, 1974. | MR | Zbl
,[2] A Lefschetz fixed point formula for elliptic complexes: I, Ann. Math. 86 (1967) 374-407. | MR | Zbl
, ,[3] A Lefschetz fixed point formula for elliptic complexes: II, Ann. Math. 88 (1968) 451-491. | MR | Zbl
, ,[4] Faisceaux pervers, Astérisque, 100, 1982. | MR | Zbl
, , ,[5] The Chern character of a transversally elliptic symbol and the equivariant index, Invent. Math. 124 (1996) 11-49. | MR | Zbl
, ,[6] Differential Operators on the Flag Varieties, Astérisque, 87-88, 1981. | Numdam | Zbl
,[7] Radon-Penrose transform for D-modules, J. Funct. Anal. 139 (1996) 349-382. | Zbl
, ,[8] Projection d'orbites, formule de Kirillov et formule de Blattner, in: Harmonic Analysis on Lie Groups and Symmetric Spaces, Mem. Soc. Math. France, 15, 1984, pp. 12-65. | EuDML | Numdam | MR | Zbl
, , ,[9] La théorie de Fredholm, Bull. Soc. Math. France 84 (1956) 319-384. | EuDML | Numdam | MR | Zbl
,[10] Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16 (1955). | MR | Zbl
,[11] Lefschetz class of elliptic pairs, Duke Math. J. 85 (1996) 273-314. | MR | Zbl
,[12] Invariant eigendistributions on a semisimple Lie group, Trans. Amer. Math. Soc. 119 (1965) 457-508. | MR | Zbl
,[13] The invariant holonomic system on a semisimple Lie algebra, Invent. Math. 75 (1984) 327-358. | MR | Zbl
, ,[14] Character, character cycle, fixed point theorem and group representations, in: Representations of Lie Groups, Adv. Stud. Pure Math., 14, 1988, pp. 369-378. | MR | Zbl
,[15] D-modules and representation theory of Lie groups, Ann. Inst. Fourier 43 (1993) 1597-1618. | Numdam | MR | Zbl
,[16] Sheaves on Manifolds, Grundlehren der Mathematischen Wissenschaften, 292, Springer-Verlag, 1990. | MR | Zbl
, ,[17] Moderate and formal cohomology associated with constructible sheaves, Mem. Soc. Math. France (N.S.), 64, 1996. | Numdam | MR | Zbl
, ,[18] Quasi-equivariant D-modules, equivariant derived category, and representations of reductive Lie groups, in: Lie Theory and Geometry, Prog. Math., 123, 1994, pp. 457-488. | MR | Zbl
, ,[19] Matsuki correspondence for sheaves, Invent. Math. 109 (1992) 231-245. | MR | Zbl
, , ,[20] Characters and character cycles, J. Math. Soc. Japan 45 (1993) 583-598. | MR | Zbl
,[21] Microfunctions and pseudo-differential equations, in: Hyperfunctions Pseudo-Differential Equations, Proc. Conf. Katata 1971, Lect. Notes in Math., 287, 1973, pp. 263-529. | MR | Zbl
, , ,[22] Index Theorem for Elliptic Pairs, Astérisque, 224, 1994. | Numdam | MR | Zbl
, ,[23] Characters, fixed points and Osborne's conjecture, in: Representation Theory of Groups and Algebras, Contemp. Math., 145, 1993, pp. 287-303. | MR | Zbl
, ,[24] Quasi-Abelian Categories and Sheaves, Mem. Soc. Math. France (N.S.), 76, 1999. | Numdam | MR | Zbl
,[25] Topological Vector Spaces, Distributions and Kernels, Academic Press, New York, 1967. | MR | Zbl
,Cited by Sources: