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The associated variety of an induced representation
Author(s):
Dan
Barbasch;
Mladen
Bozicevic
Journal:
Proc. Amer. Math. Soc.
127
(1999),
279-288.
MSC (1991):
Primary 22E46
MathSciNet review:
1458862
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Abstract:
This paper studies the behavior of the associated variety under induction from real parabolic subgroups. We derive a formula for the associated variety of an induced module which is analogous to the formula for the wave front set of a derived functor module obtained by Barbasch and Vogan.
References:
- [ABV]
- J. Adams, D. Barbasch, D. Vogan, The Langlands classification and irreducible representations for real reductive groups, Birkhäuser. MR 93j:22001
- [B]
- D. Barbasch, Unipotent representations for real reductive groups, Proceedings of ICM 1990, Springer Verlag, 1991, pp. 769-777. MR 93m:22012
- [BV]
- D. Barbasch and D. Vogan, Weyl Group Representations and Nilpotent Orbits, Representation Theory of Reductive Groups (P.C. Trombi, eds.), Birkhäuser-Boston, 1983, pp. 21-32. MR 85g:22025
- [BB]
- W. Borho and J.-L. Brylinski, Differential operators on homogeneous spaces III, Invent. Math. 80 (1985), 1-68. MR 87i:22045
- [Ch]
- J.-T. Chang, Remarks on localization and standard modules: the duality theorem on a generalized flag variety, Proc. of the Amer. Math. Soc. 117 (1993), 585-591. MR 93d:22016
- [Gi]
- V. Ginsburg, Characteristic varieties and vanishing cycles, Invent. Math. 84 (1986), 327-402. MR 87j:32030
- [HMSW]
- H. Hecht, D. Mili\v{c}i\'{c}, W. Schmid, J. Wolf, Localization and standard modules for real semisimple groups I: The duality theorem, Invent. Math. 90 (1987), 297-332. MR 89e:22025
- [Ka]
- M. Kashiwara, Systems of microdifferential equations, Progress in Math. 34, Birkhäuser, 1983. MR 86b:58113
- [SV]
- W. Schmid and K. Vilonen, Characteristic cycles of constructible sheaves, Invent. Math. 124 (1996), 451-502. MR 96k:32016
- [SW]
- W. Schmid and J. Wolf, A vanishing theorem for open orbits on complex flag manifolds, Proc. of the Amer. Math. Soc. 92 (1984), 461-464. MR 85i:32029
- [Vo]
- D.Vogan, Representations of real reductive Lie groups, Progress in Math. 15, Birkhäuser, 1981. MR 83c:22022
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Additional Information:
Dan
Barbasch
Affiliation:
Department of Mathematics, Cornell University, Ithaca, New York 14853
Email:
barbasch@math.cornell.edu
Mladen
Bozicevic
Affiliation:
University of Zagreb, Geotechnical Faculty, 42000 Varazdin, Croatia
Email:
bozicevi@cromath.math.hr
DOI:
10.1090/S0002-9939-99-04482-2
PII:
S 0002-9939(99)04482-2
Received by editor(s):
October 20, 1996
Received by editor(s) in revised form:
April 30, 1997
Communicated by:
Roe Goodman
Copyright of article:
Copyright
1999,
American Mathematical Society
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