Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras: 1859 (Lecture Notes in Mathematics, 1859) - Tapa blanda

Letellier, Emmanuel

 
9783540240204: Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras: 1859 (Lecture Notes in Mathematics, 1859)
Tapa blanda
ISBN 10: 3540240209 ISBN 13: 9783540240204
Editorial: Springer Berlin Heidelberg, 2008

Sinopsis

The Fourier transforms of invariant functions on finite reductive Lie algebras are due to 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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer Berlin Heidelberg
Año de publicación
2008
Idioma
Inglés
ISBN 10 
3540240209
ISBN 13 
9783540240204
Encuadernación
Tapa blanda
Número de páginas
186
Contacto del fabricante
no disponible
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