Abstract
The goal of this chapter is to give a formula which reduces the computation of the values of the Fourier transforms of the characteristic functions of the adjoint orbits of \(\mathcal{G}^F\) to the computation of the values of the generalized Green functions and the computation of the Lusztig constants attached to the F-stable cuspidal data of \(\mathcal{G}\). As in the previous chapter, we assume, unless specified, that p is acceptable for G and that q is large enough.
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© 2005 Springer-Verlag Berlin/Heidelberg
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Letellier, E. (2005). 7. Fourier Transforms of the Characteristic Functions of the Adjoint Orbits. In: Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras. Lecture Notes in Mathematics, vol 1859. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31561-2_7
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DOI: https://doi.org/10.1007/978-3-540-31561-2_7
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24020-4
Online ISBN: 978-3-540-31561-2
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