Skip to main content

5. Geometrical Induction

  • 768 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1859)

Abstract

In the group case, Deligne-Lusztig induction (see 3.2.1) is defined using the basis formed by characters. By making the use of Lusztig’s character sheaves, it is possible to define another “twisted” induction using the basis formed by the characteristic functions of some simple perverse sheaves so-called character sheaves. In [Lus90], it is proved, under some restrictions on p and q, that the two inductions coincide.

Mathematics Subject Classification (2000):

  • 20C33

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   49.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Emmanuel Letellier .

Rights and permissions

Reprints and Permissions

Copyright information

© 2005 Springer-Verlag Berlin/Heidelberg

About this chapter

Cite this chapter

Letellier, E. (2005). 5. Geometrical Induction. In: Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras. Lecture Notes in Mathematics, vol 1859. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31561-2_5

Download citation