-modules and representation theory of Lie groups
Annales de l'institut Fourier (1993)
- Volume: 43, Issue: 5, page 1597-1618
- ISSN: 0373-0956
Access Full Article
topHow to cite
topKashiwara, Masaki. "$D$-modules and representation theory of Lie groups." Annales de l'institut Fourier 43.5 (1993): 1597-1618. <http://eudml.org/doc/75049>.
@article{Kashiwara1993,
author = {Kashiwara, Masaki},
journal = {Annales de l'institut Fourier},
keywords = {representations; Harish-Chandra modules; -equivariant sheaves; -equivariant sheaves; flag manifolds; representations of real semisimple Lie groups},
language = {eng},
number = {5},
pages = {1597-1618},
publisher = {Association des Annales de l'Institut Fourier},
title = {$D$-modules and representation theory of Lie groups},
url = {http://eudml.org/doc/75049},
volume = {43},
year = {1993},
}
TY - JOUR
AU - Kashiwara, Masaki
TI - $D$-modules and representation theory of Lie groups
JO - Annales de l'institut Fourier
PY - 1993
PB - Association des Annales de l'Institut Fourier
VL - 43
IS - 5
SP - 1597
EP - 1618
LA - eng
KW - representations; Harish-Chandra modules; -equivariant sheaves; -equivariant sheaves; flag manifolds; representations of real semisimple Lie groups
UR - http://eudml.org/doc/75049
ER -
References
top- [Bei] A. BEILINSON, Localization of representations of reductive Lie algebra, Proc. of ICM 1982, (1983), 699-716. Zbl0571.20032
- [BeiBer] A. BEILINSON and J. BERNSTEIN, Localization de g-modules, C.R. Acad. Sci. Paris, 292 (1981), 15-18. Zbl0476.14019MR82k:14015
- [BeiBerD] A. BEILINSON, J. BERNSTEIN and P. DELIGNE, Faisceaux Pervers, Astérisque, 100 (1982). Zbl0536.14011MR86g:32015
- [BoBr] W. BORHO and J.L. BRYLINSKI, Differential operators on homogeneous spaces, I, II, Invent. Math., 69 (1982), 437-476; ibid. 80 (1985), 1-68. Zbl0504.22015
- [FSh] A.I. FOMIN and N.N. SHAPAVALOV, A property of the character of real semisimple groups, Funct. Anal. Appl., 8 (1974), 270-271. Zbl0302.22017
- [HeC] HARISH-CHANDRA, 1. 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.
- [Hi] T. HIRAI, Invariant eigendistributions of Laplace operators on real semisimple Lie groups II, III, Japan. J. Math., 2 (1976), 27-89, 269-341. Zbl0341.22006MR58 #28273a
- [HoK] R. HOTTA and M. KASHIWARA, 1. 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. Zbl0538.22013MR87i:22041
- [K] M. KASHIWARA, 1. 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.
- [KSp] M. KASHIWARA and P. SCHAPIRA, Sheaves on Manifold, Grundlehren der Mathematischen Wissenschaften, 292, Springer (1990). Zbl0709.18001
- [KSd] M. KASHIWARA and W. SCHMID, Equivariant derived category and representations of semisimple Lie groups, in preparation. Zbl0854.22014
- [KV] M. KASHIWARA and M. VERGNE, K-types and singular spectrum, in Non-Commutative Harmonic Analysis, Lecture notes in Math., Springer-Verlag, 728 (1979), 177-200. Zbl0411.22015MR81m:22022
- [M] B. MALGRANGE, Cohomologie de Spencer (d'après Quillen), Cours Fac. Sc. Orsay (1965-1966), Publ. sém. Math. d'Orsay (France 1966).
- [Mt] T. MATSUKI, Orbits on affine symmetric speces under the action of parabolic subgroups, Hiroshima Math., J., 12 (1982), 307-320. Zbl0495.53049MR83k:53072
- [MUV] I. MIRKOVIĆ, T. UZAWA and K. VILONEN, Matsuki correspondence for sheaves, Invent. Math., 109 (1992), 231-245. Zbl0789.53033MR93k:22011
- [N] K. NISHIYAMA, Virtual characters and constant coefficient invariant eigendistributions on a semisimple Lie groups, Japan. J. Math. New Series, 12 (1986), 75-94. Zbl0668.22003MR89b:22025
- [Sd] W. SCHMID, Boundary value problems for group invariant differential equations, Elie Cartan et les Mathématiques d'aujourd'hui, Astérisque, (1985), 311-322. Zbl0621.22014MR87h:22018
- [SV] W. SCHMID and K. VILONEN, Character, fixed points and Osborn's conjecture, preprint.
- [SW] W. SCHMID and J.A. WOLF, Globalizations of Harish-Chandra modules, Bulletin of AMS, 17 (1987), 117-120. Zbl0649.22010MR88g:22014
- [Se] J. SEKIGUCHI, Remarks on real nilpotent orbits of a symmetric pair, J. Math. Soc. Japan, 39 (1987), 127-138. Zbl0627.22008MR88g:53053
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.