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Opis

The study of Fourier transforms of invariant functions on finite reductive Lie algebras has been initiated by 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.

Szczegóły książki

Kategoria Books in English Mathematics & science Mathematics

• Pełny tytuł: Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras
• Autor: E. Letellier
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 165
• EAN: 9783540240204
• ISBN: 3540240209
• ID: 01560145
• Wydawca: Springer, Berlin
• Waga: 312 g
• Wymiary: 234 × 156 × 9 mm
• Rok wydania: 2004

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