previous :: next
Cohomological induction in various categories and the maximal globalization conjecture
Hon-Wai Wong
Source: Duke Math. J. Volume 96, Number 1
(1999), 1-27.
First Page:
Show
Hide
Primary Subjects:
22E46
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077228941
Mathematical Reviews number (MathSciNet): MR1663911
Zentralblatt MATH identifier: 0954.22009
Digital Object Identifier: doi:10.1215/S0012-7094-99-09601-1
References
[AR] R. I. Aguilar-Rodriguez, Connections between representations of lie groups and sheaf cohomology, dissertation, Harvard Univ., 1987.
[AG] Aldo Andreotti and Hans Grauert, Théorème de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France 90 (1962), 193–259.
Mathematical Reviews (MathSciNet): MR27:343
Zentralblatt MATH: 0106.05501
[BB] A. Beĭ linson and J. Bernstein, A proof of Jantzen conjectures, I. M. Gel'fand Seminar, Adv. Soviet Math., vol. 16, Amer. Math. Soc., Providence, RI, 1993, pp. 1–50.
Mathematical Reviews (MathSciNet): MR95a:22022
Zentralblatt MATH: 0790.22007
[BL1] Joseph Bernstein and Valery Lunts, Equivariant sheaves and functors, Lecture Notes in Mathematics, vol. 1578, Springer-Verlag, Berlin, 1994.
Mathematical Reviews (MathSciNet): MR95k:55012
Zentralblatt MATH: 0808.14038
[BL2] Joseph Bernstein and Valery Lunts, Localization for derived categories of $(\germ g,K)$-modules, J. Amer. Math. Soc. 8 (1995), no. 4, 819–856.
Mathematical Reviews (MathSciNet): MR95m:17004
Zentralblatt MATH: 0852.22015
Digital Object Identifier: doi:10.2307/2152830
JSTOR: links.jstor.org
[Bn] Frédéric V. Bien, $\scr D$-modules and spherical representations, Mathematical Notes, vol. 39, Princeton University Press, Princeton, NJ, 1990.
Mathematical Reviews (MathSciNet): MR92f:22025
Zentralblatt MATH: 0723.22014
[Bo] A. Borel, P.-P. Grivel, B. Kaup, A. Haefliger, B. Malgrange, and F. Ehlers, Algebraic $D$-modules, Perspectives in Mathematics, vol. 2, Academic Press Inc., Boston, MA, 1987.
Mathematical Reviews (MathSciNet): MR89g:32014
Zentralblatt MATH: 0642.32001
[GS] Phillip Griffiths and Wilfried Schmid, Locally homogeneous complex manifolds, Acta Math. 123 (1969), 253–302.
Mathematical Reviews (MathSciNet): MR41:4587
Zentralblatt MATH: 0209.25701
Digital Object Identifier: doi:10.1007/BF02392390
[K1] M. Kashiwara, Open problems in group representation theory, Proceedings of Taniguchi Symposium, 1986, RIMS preprint 569, Kyoto Univ. 1987.
[K2] Masaki Kashiwara, Representation theory and $D$-modules on flag varieties, Astérisque (1989), no. 173-174, 9, 55–109, Orbites unipotentes et représentations, III, Publ. I.R.M.A., Strabsourg.
Mathematical Reviews (MathSciNet): MR90k:17029
Zentralblatt MATH: 0705.22010
[K3] Masaki Kashiwara, $D$-modules and representation theory of Lie groups, Ann. Inst. Fourier (Grenoble) 43 (1993), no. 5, 1597–1618.
Mathematical Reviews (MathSciNet): MR95b:22033
Zentralblatt MATH: 0823.22013
[KSc] Masaki Kashiwara and Pierre Schapira, Sheaves on manifolds, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 292, Springer-Verlag, Berlin, 1990.
Mathematical Reviews (MathSciNet): MR92a:58132
Zentralblatt MATH: 0709.18001
[KS] Masaki Kashiwara and Wilfried Schmid, Quasi-equivariant $\scr D$-modules, equivariant derived category, and representations of reductive Lie groups, Lie theory and geometry, Progr. Math., vol. 123, Birkhäuser Boston, Boston, MA, 1994, (in Honor of Bertram Kostant), pp. 457–488.
Mathematical Reviews (MathSciNet): MR96e:22031
Zentralblatt MATH: 0854.22014
[KV] Anthony W. Knapp and David A. Vogan, Jr., Cohomological induction and unitary representations, Princeton Mathematical Series, vol. 45, Princeton University Press, Princeton, NJ, 1995.
Mathematical Reviews (MathSciNet): MR96c:22023
Zentralblatt MATH: 0863.22011
[La] Serge Lang, Algebra, Addison-Wesley Publishing Company Advanced Book Program, Reading, MA, 1984, 2d ed.
Mathematical Reviews (MathSciNet): MR86j:00003
Zentralblatt MATH: 0712.00001
[Ma] B. Malgrange, Équations différentielles à coefficients polynomiaux, Progress in Mathematics, vol. 96, Birkhäuser Boston Inc., Boston, MA, 1991.
Mathematical Reviews (MathSciNet): MR92k:32020
Zentralblatt MATH: 0764.32001
[MUV] I. Mirković, T. Uzawa, and K. Vilonen, Matsuki correspondence for sheaves, Invent. Math. 109 (1992), no. 2, 231–245.
Mathematical Reviews (MathSciNet): MR93k:22011
Zentralblatt MATH: 0789.53033
Digital Object Identifier: doi:10.1007/BF01232026
[MV] I. Mirković and K. Vilonen, Characteristic varieties of character sheaves, Invent. Math. 93 (1988), no. 2, 405–418.
Mathematical Reviews (MathSciNet): MR89i:20066
Zentralblatt MATH: 0683.22012
Digital Object Identifier: doi:10.1007/BF01394339
[S1] Wilfried Schmid, Homogeneous complex manifolds and representations of semisimple Lie groups, Representation theory and harmonic analysis on semisimple Lie groups, Math. Surveys Monogr., vol. 31, Amer. Math. Soc., Providence, RI, 1989, pp. 223–286.
Mathematical Reviews (MathSciNet): MR90i:22025
Zentralblatt MATH: 0744.22016
[S2] Wilfried Schmid, Boundary value problems for group invariant differential equations, Astérisque (1985), no. Numero Hors Serie, 311–321, in The Mathematical Heritage of Élie Cartan (Lyon, 1984), France, Marseille.
Mathematical Reviews (MathSciNet): MR87h:22018
Zentralblatt MATH: 0621.22014
[SW] Wilfried Schmid and Joseph A. Wolf, Geometric quantization and derived functor modules for semisimple Lie groups, J. Funct. Anal. 90 (1990), no. 1, 48–112.
Mathematical Reviews (MathSciNet): MR91j:22012
Zentralblatt MATH: 0781.22009
Digital Object Identifier: doi:10.1016/0022-1236(90)90080-5
[TW] Juan A. Tirao and Joseph A. Wolf, Homogeneous holomorphic vector bundles, Indiana Univ. Math. J. 20 (1970/1971), 15–31.
Mathematical Reviews (MathSciNet): MR41:7715
Zentralblatt MATH: 0197.49801
Digital Object Identifier: doi:10.1512/iumj.1970.20.20002
[Tr] François Trèves, Topological vector spaces, distributions and kernels, Academic Press, New York, 1967.
Mathematical Reviews (MathSciNet): MR37:726
Zentralblatt MATH: 0171.10402
[V1] David A. Vogan, Jr., Representations of real reductive Lie groups, Progress in Mathematics, vol. 15, Birkhäuser Boston, Mass., 1981.
Mathematical Reviews (MathSciNet): MR83c:22022
Zentralblatt MATH: 0469.22012
[V2] David A. Vogan, Jr., Unitary representations of reductive Lie groups, Annals of Mathematics Studies, vol. 118, Princeton University Press, Princeton, NJ, 1987.
Mathematical Reviews (MathSciNet): MR89g:22024
Zentralblatt MATH: 0626.22011
[W1] Joseph A. Wolf, The action of a real semisimple group on a complex flag manifold. I. Orbit structure and holomorphic arc components, Bull. Amer. Math. Soc. 75 (1969), 1121–1237.
Mathematical Reviews (MathSciNet): MR40:4477
Zentralblatt MATH: 0183.50901
Digital Object Identifier: doi:10.1090/S0002-9904-1969-12359-1
Project Euclid: euclid.bams/1183530900
[W2] Joseph A. Wolf, Admissible representations and geometry of flag manifolds, The Penrose transform and analytic cohomology in representation theory (South Hadley, MA, 1992), Contemp. Math., vol. 154, Amer. Math. Soc., Providence, RI, 1993, pp. 21–45.
Mathematical Reviews (MathSciNet): MR94j:22015
Zentralblatt MATH: 0822.22010
[Wo1] H. W. Wong, Dolbeault cohomologies and Zuckerman modules, The Penrose transform and analytic cohomology in representation theory (South Hadley, MA, 1992), Contemp. Math., vol. 154, Amer. Math. Soc., Providence, RI, 1993, pp. 217–223.
Mathematical Reviews (MathSciNet): MR94i:22032
Zentralblatt MATH: 0810.22007
[Wo2] Hon-Wai Wong, Dolbeault cohomological realization of Zuckerman modules associated with finite rank representations, J. Funct. Anal. 129 (1995), no. 2, 428–454.
Mathematical Reviews (MathSciNet): MR96c:22024
Zentralblatt MATH: 0855.22014
Digital Object Identifier: doi:10.1006/jfan.1995.1058
previous :: next
Duke Mathematical Journal