9783540240204
Fourier Transforms Of Invariant Functions On Finite Reductive Lie Algebras (Lecture Notes In Mathematics) - Emmanuel Letellier
Springer (2005)
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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.

Product Details
LoC Classification QA252.3.L48 2005
Dewey 512
Format Paperback
Cover Price 44,95 €
No. of Pages 165
Height x Width 240 x 160 mm
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