@article{AIF_1993__43_5_1597_0, author = {Kashiwara, Masaki}, title = {$D$-modules and representation theory of {Lie} groups}, journal = {Annales de l'Institut Fourier}, pages = {1597--1618}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {43}, number = {5}, year = {1993}, doi = {10.5802/aif.1385}, zbl = {0823.22013}, mrnumber = {95b:22033}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1385/} }
TY - JOUR AU - Kashiwara, Masaki TI - $D$-modules and representation theory of Lie groups JO - Annales de l'Institut Fourier PY - 1993 SP - 1597 EP - 1618 VL - 43 IS - 5 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1385/ DO - 10.5802/aif.1385 LA - en ID - AIF_1993__43_5_1597_0 ER -
%0 Journal Article %A Kashiwara, Masaki %T $D$-modules and representation theory of Lie groups %J Annales de l'Institut Fourier %D 1993 %P 1597-1618 %V 43 %N 5 %I Institut Fourier %C Grenoble %U https://aif.centre-mersenne.org/articles/10.5802/aif.1385/ %R 10.5802/aif.1385 %G en %F AIF_1993__43_5_1597_0
Kashiwara, Masaki. $D$-modules and representation theory of Lie groups. Annales de l'Institut Fourier, Tome 43 (1993) no. 5, pp. 1597-1618. doi : 10.5802/aif.1385. https://aif.centre-mersenne.org/articles/10.5802/aif.1385/
[Bei] Localization of representations of reductive Lie algebra, Proc. of ICM 1982, (1983), 699-716. | Zbl
,[BeiBer] Localization de g-modules, C.R. Acad. Sci. Paris, 292 (1981), 15-18. | MR | Zbl
and ,[BeiBerD] Faisceaux Pervers, Astérisque, 100 (1982). | MR | Zbl
, and ,[BoBr] Differential operators on homogeneous spaces, I, II, Invent. Math., 69 (1982), 437-476; ibid. 80 (1985), 1-68. | Zbl
and ,[FSh] A property of the character of real semisimple groups, Funct. Anal. Appl., 8 (1974), 270-271. | Zbl
and ,[HeC] Representation of a semisimple Lie group on a Banach space I, Trans. Amer. Math., Soc., 74 (1953), 185-243, 2. The characters of semisimple Lie groups, ibid., 83 (1956), 98-163, 3. Invariant eigendistributions on semisimple Lie groups, ibid., 119 (1965), 457-508, 4. Discrete series for semisimple Lie groups I, Acta Math., 113 (1965), 241-318.
, 1.[Hi] Invariant eigendistributions of Laplace operators on real semisimple Lie groups II, III, Japan. J. Math., 2 (1976), 27-89, 269-341. | MR | Zbl
,[HoK] The invariant holonomic systems of the enveloping algebra of a semisimple Lie algebra, Invent. Math., 75 (1984), 327-358. 2. Quotients of the Harish-Chandra system by primitive ideals, Geometry of Today, Progress in Math., Birkhäuser Boston Inc., 60 (1985), 185-205. | MR | Zbl
and , 1.[K] Character, character cycle, fixed point theorem and group representations, Advanced Studies in Pure Math., 14 (1988) 369-378, 2. Open problems in group representation theory, Proceeding of Taniguchi Symposium held in 1986, RIMS preprint 569, 3. Representation theory and D-modules on flag manifolds, Astérisque, 173-174 (1989), 55-109.
, 1.[KSp] Sheaves on Manifold, Grundlehren der Mathematischen Wissenschaften, 292, Springer (1990). | Zbl
and ,[KSd] Equivariant derived category and representations of semisimple Lie groups, in preparation. | Zbl
and ,[KV] K-types and singular spectrum, in Non-Commutative Harmonic Analysis, Lecture notes in Math., Springer-Verlag, 728 (1979), 177-200. | MR | Zbl
and ,[M] Cohomologie de Spencer (d'après Quillen), Cours Fac. Sc. Orsay (1965-1966), Publ. sém. Math. d'Orsay (France 1966).
,[Mt] Orbits on affine symmetric speces under the action of parabolic subgroups, Hiroshima Math., J., 12 (1982), 307-320. | MR | Zbl
,[MUV] Matsuki correspondence for sheaves, Invent. Math., 109 (1992), 231-245. | EuDML | MR | Zbl
, and ,[N] Virtual characters and constant coefficient invariant eigendistributions on a semisimple Lie groups, Japan. J. Math. New Series, 12 (1986), 75-94. | MR | Zbl
,[Sd] Boundary value problems for group invariant differential equations, Elie Cartan et les Mathématiques d'aujourd'hui, Astérisque, (1985), 311-322. | MR | Zbl
,[SV] Character, fixed points and Osborn's conjecture, preprint. | Zbl
and ,[SW] Globalizations of Harish-Chandra modules, Bulletin of AMS, 17 (1987), 117-120. | MR | Zbl
and ,[Se] Remarks on real nilpotent orbits of a symmetric pair, J. Math. Soc. Japan, 39 (1987), 127-138. | MR | Zbl
,Cité par Sources :