@article{CM_1993__88_3_265_0, author = {Chang, Jen-Tseh}, title = {Asymptotics and characteristic cycles for representations of complex groups}, journal = {Compositio Mathematica}, pages = {265--283}, publisher = {Kluwer Academic Publishers}, volume = {88}, number = {3}, year = {1993}, mrnumber = {1241951}, zbl = {0794.22011}, language = {en}, url = {http://www.numdam.org/item/CM_1993__88_3_265_0/} }
TY - JOUR AU - Chang, Jen-Tseh TI - Asymptotics and characteristic cycles for representations of complex groups JO - Compositio Mathematica PY - 1993 SP - 265 EP - 283 VL - 88 IS - 3 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1993__88_3_265_0/ LA - en ID - CM_1993__88_3_265_0 ER -
Chang, Jen-Tseh. Asymptotics and characteristic cycles for representations of complex groups. Compositio Mathematica, Volume 88 (1993) no. 3, pp. 265-283. http://www.numdam.org/item/CM_1993__88_3_265_0/
[B-V] The local structure of characters, J. Funct. Anal. 37 (1980) 27-55. | MR | Zbl
and ,[B-B1] Localisation de g-modules, C.R. Acad. Sci. Paris, Ser. I 292 15-18. | MR | Zbl
and ,[B-B2] A Generalization of Casselman's Submodule Theorem, Representation Theory of Reductive Groups, Progress in Mathematics 40, Birkhäuser, Boston, 1983. | Zbl
and ,[B] Algebraic Theory of D-Modules, mimeographed note (1983).
,[Bo-Br] Differential operators on homogeneous spaces III, Invent. Math. 80 (1985) 1-68. | MR | Zbl
and ,[C-E] Homological Algebra, Princeton Univ. Press, 1956. | MR | Zbl
and ,[Ca] Primitive ideals and representations, J. Algebra 101 (1986) 497-515. | MR | Zbl
,[C-1] Special K-types, tempered characters and the Beilinson-Bernstein realization, Duke Math. J. 56 (1988) 345-383. | MR | Zbl
,[C-2] Characteristic cycles of holomorphic discrete series, preprint, to appear in Trans. A.M.S. | MR | Zbl
,[H] Algebraic Geometry, Springer-Verlag, New York, 1979.
,[H-M-S-W] Localization and standard modules for real semisimple Lie groups I: the duality theorem, Invent. Math. 90 (1987) 297-332. | MR | Zbl
, , and ,[H-S] Characters, asymptotics and n-homology of Harish-Chandra modules, Acta Math. 151 (1983) 49-151. | MR | Zbl
and ,[J1] Goldie rank in the enveloping algebra of a semisimple Lie algebra II, J. Algebra 65 (1980) 284-306. | MR | Zbl
,[J2] On the characteristic polynomials of orbital varieties, Ann. E.N.S. 22 (1989) 569-603. | Numdam | MR | Zbl
,[K-R] Orbits and representations associated with symmetric spaces, Amer. J. Math. 93 (1971) 753-809. | MR | Zbl
and ,[K-T] The characteristic cycles of holonomic systems on a flag manifold, Invent. Math. 77 (1984) 185-198. | MR | Zbl
and ,[M] Geometric Invariant Theory, Ergebnisse der Mathematik, Band 34, Springer-Verlag, Berlin-Heidelberg: New York, 1965. | MR | Zbl
,[R] Invariant eigendistributions on a complex Lie algebra and homology classes on the conormal variety I, II, J. Funct. Anal. 96 (1991) 130-193. | MR | Zbl
,[S] Remarks on nilpotent orbits of a symmetric pair, J. Math. Soc. Japan 39 (1987) 127-138. | MR | Zbl
,[V1] Representations of Real Reductive Lie Groups, Birkhäuser, Boston, 1981. | MR | Zbl
,[V2] Five Lectures, at Bowdoin College, August 1989.
,[V3] Associated varieties and unipotent representations, preprint (1990). | MR
,[V4] Gelfand-Kirillov dimension for Harish-Chandra modules, Invent. Math. 48 (1978) 75-98. | MR | Zbl
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