| Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras 2005 Edition Contributor(s): Letellier, Emmanuel (Author) |
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ISBN: 3540240209 ISBN-13: 9783540240204 Publisher: Springer OUR PRICE: $47.45 Product Type: Paperback - Other Formats Published: December 2004 |
| Additional Information |
| BISAC Categories: - Mathematics | Group Theory - Mathematics | Algebra - Abstract - Mathematics | Algebra - General |
| Dewey: 512.482 |
| LCCN: 2004115717 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.4" H x 6.1" W x 9.1" (0.60 lbs) 165 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |