Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Group Gradings on Lie Algebras and Applications to Geometry: II Read chapter Read first chapter

2014 | OriginalPaper | Chapter

Twisted Harish–Chandra Sheaves and Whittaker Modules: The Nondegenerate Case

Authors : Dragan Miličić, Wolfgang Soergel

Published in: Developments and Retrospectives in Lie Theory

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

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 nondegenerate Whittaker modules.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Harmonic Spinors on Reductive Homogeneous Spaces
next chapter Unitary Representations of Unitary Groups
Footnotes
1
One of us learned this argument to prove Kostant’s result from Wilfried Schmid in 1977.
 
Literature
1.
Alexander Beĭlinson and Joseph Bernstein, Localisation de \(\mathfrak{g}\) -modules, C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), no. 1, 15–18.MATH
2.
Nicolas Bourbaki, Algèbre commutative, Mason, Paris.
3.
____________________________________ , Groupes et algèbres de Lie, Mason, Paris.
4.
Henryk Hecht, Dragan Miličić, Wilfried Schmid, and Joseph A. Wolf, Localization and standard modules for real semisimple Lie groups. I. The duality theorem, Invent. Math. 90 (1987), no. 2, 297–332.
5.
6.
7.
8.
____________________________________ , Algebraic \(\mathcal{D}\) -modules and representation theory of semisimple Lie groups, The Penrose transform and analytic cohomology in representation theory (South Hadley, MA, 1992), Amer. Math. Soc., Providence, RI, 1993, pp. 133–168.
9.
Dragan Miličić and Pavle Pandžić, Equivariant derived categories, Zuckerman functors and localization, Geometry and representation theory of real and p-adic groups (Córdoba, 1995), Progr. Math., Vol. 158, Birkhäuser Boston, Cambridge, MA, 1998, pp. 209–242.
10.
Dragan Miličić and Wolfgang Soergel, The composition series of modules induced from Whittaker modules, Comment. Math. Helv. 72 (1997), no. 4, 503–520.CrossRefMATHMathSciNet
11.
Takuro Mochizuki, Wild harmonic bundles and wild pure twistor D-modules, Astérisque (2011), no. 340.
Metadata
Title
Twisted Harish–Chandra Sheaves and Whittaker Modules: The Nondegenerate Case
Authors
Dragan Miličić
Wolfgang Soergel
Copyright Year
2014
Book
Developments and Retrospectives in Lie Theory

Print ISBN: 978-3-319-09933-0

Electronic ISBN: 978-3-319-09934-7

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-09934-7_7

Premium Partner

    Image Credits