Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras - Couverture souple

Letellier, Emmanuel

 
9783540240204: Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras
Couverture souple
ISBN 10 : 3540240209 ISBN 13 : 9783540240204
Editeur : Springer Berlin Heidelberg, 2008

Synopsis

The Fourier transforms of invariant functions on finite reductive Lie algebras are due to 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 Lusztig's character sheaves theory. He conjectures a commutation formula between Deligne-Lusztig induction and Fourier transforms that he proves in many cases. As an application the computation of the values of the trigonometric sums (on reductive Lie algebras) is shown to reduce to the computation of the generalized Green functions and to the computation of some fourth roots of unity.

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Éditeur
Springer Berlin Heidelberg
Date d'édition
2008
Langue
anglais
ISBN 10 
3540240209
ISBN 13 
9783540240204
Reliure
Broché
Nombre de pages
186
Coordonnées du fabricant
non disponible
Personne responsable
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