Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras
Emmanuel Letellier (auth.)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 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.
Kategorien:
Jahr:
2005
Auflage:
1
Verlag:
Springer-Verlag Berlin Heidelberg
Sprache:
english
Seiten:
165
ISBN 10:
3540240209
ISBN 13:
9783540240204
Serien:
Lecture Notes in Mathematics 1859
Datei:
PDF, 1.45 MB
IPFS:
,
english, 2005
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