By Emmanuel Letellier
The Fourier transforms of invariant features on finite reductive Lie algebras are as a result of T.A. Springer (1976) in reference to the geometry of nilpotent orbits. during this publication the writer reviews Fourier transforms utilizing Deligne-Lusztig induction and the Lie algebra model of Lusztig’s personality sheaves concept. He conjectures a commutation formulation among Deligne-Lusztig induction and Fourier transforms that he proves in lots of instances. As an software the computation of the values of the trigonometric sums (on reductive Lie algebras) is proven to lessen to the computation of the generalized eco-friendly services and to the computation of a few fourth roots of unity.
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