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Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras

The study of Fourier transforms of invariant functions on finite reductive Lie algebras has been initiated by T.A. Springer (1976) in connection with the geometry of nilpotent orbits. In this book the author studies Fourier transforms using Deligne-Lusztig induction and the Lie algebra version of Lu...

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Bibliographic Details
Main Author: Letellier, Emmanuel. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Edition:1st ed. 2005.
Series:Lecture Notes in Mathematics, 1859
Subjects:
Group theory.
Group Theory and Generalizations.
Online Access:https://doi.org/10.1007/b104209
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Table of Contents:
  • Preface
  • Introduction
  • Connected Reductive Groups and their Lie Algebras
  • Deligne-Lusztig Induction
  • Local Systems and Perverse Shaeves
  • Geometrical Induction
  • Deligne-Lusztig Induction and Fourier Transforms
  • Fourier Transforms of the Characteristic Functions of the Adjoint Orbits
  • References
  • Index.

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