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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras

Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras

Letellier, Emmanuel

Paperback

Series: Lecture Notes in Mathematics, Book 1859

AlgebraGeneral Mathematics

ISBN10: 3540240209
ISBN13: 9783540240204
Publisher: Springer Nature
Published: Dec 2 2004
Pages: 165
Weight: 0.60
Height: 0.40 Width: 6.10 Depth: 9.10
Language: English

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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