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Asymptotic behavior of matrix coefficients of admissible representations
- W. Casselman, D. Miličić
- Mathematics
- 1 December 1982
Introduction . . . . . . . . . . . . . . . . . . . . . . . . 869 1. Generalities on reductive groups . . . . . . . . . . . . . . 873 2. The infinitesimal Cartan decomposition . . . . . . . . . . .…
The composition series of modules induced from Whittaker modules
- D. Miličić, W. Soergel
- Mathematics
- 31 December 1997
AbstractWe study a category of representations over a semisimple Lie algebra, which contains category
$ \cal O $ as well as the so-called Whittaker modules, and prove a generalization of the…
Localization and standard modules for real semisimple Lie groups I: The duality theorem
- Henryk Hecht, D. Miličić, W. Schmid, J. Wolf
- Mathematics
- 1 June 1987
In this paper we relate two constructions of representations of semisimple Lie groups constructions that appear quite different at first glance. Homogeneous vector bundles are one source of…
Evolutionary Ecology of Social and Sexual Systems: Crustaceans as Model Organisms
- D. Miličić, Sofija Pavković Lucić
- Biology
- 19 June 2012
TLDR
Asymptotic behaviour of matrix coe cients of the discrete series
- D. Miličić
- Chemistry
- 1 March 1977
A chlorine-donating perhalogenated hydrocarbon such as fluorocarbon 133a is reacted in the vapor phase with a hydrogen-donating halogenated hydrocarbon such as fluorocarbon 113a in the presence of a…
Jacquet Modules for Real Reductive Groups
- W. Casselman, D. Miličić, Henryk Hecht, W. Schmid
- Mathematics
- 2010
EQUIVARIANT DERIVED CATEGORIES, ZUCKERMAN FUNCTORS AND LOCALIZATION
- D. Miličić, Pavle Pandžić
- Mathematics
- 1998
In this paper we revisit some now classical constructions of modern representation theory: Zuckerman’s cohomological construction and the localization theory of Bernstein and Beilinson. These…
Bruhat filtrations and Whittaker vectors for real groups
- W. Casselman, Henryk Hecht, D. Miličić
- Mathematics
- 2000
In this paper we continue earlier work of Bruhat, Jacquet, and Shalika on Whittaker models for smooth representations of real groups. We prove exactness in a certain category of such smooth…
Twisted Harish–Chandra Sheaves and Whittaker Modules: The Nondegenerate Case
- D. Miličić, W. Soergel
- Mathematics
- 2014
In this paper we develop a geometric approach to the study of the category of Whittaker modules. As an application, we reprove a well-known result of B. Kostant on the structure of the category of…
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