For semisimple Lie algebras over finite fields of large characteristic, invariant functions supported on the nilpotent cone satisfy ˆf = γ^{-1}f with γ an explicit quadratic Gauss sum, determining the Lusztig constant in general.
269, Paris: Soci \'e t \'e Math \'e matique de France, 2001
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Lusztig constants and endoscopy
For semisimple Lie algebras over finite fields of large characteristic, invariant functions supported on the nilpotent cone satisfy ˆf = γ^{-1}f with γ an explicit quadratic Gauss sum, determining the Lusztig constant in general.