Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras

• Κύριος συγγραφέας: Letellier, Emmanuel (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
• Σειρά: Lecture Notes in Mathematics, 1859
• Θέματα: Mathematics.; Group theory.; Group Theory and Generalizations.

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 Lu...

Πίνακας περιεχομένων:

• Preface
• Introduction
• Connected Reductive Groups and their Lie Algebras
• Deligne-Lusztig Induction
• Local Systems and Perverse Shaeves
• Geometrical Induction
• Deligne-Lusztig Induction and Fourier Transforms
• Fourier Transforms of the Characteristic Functions of the Adjoint Orbits
• References
• Index.