Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras (2005) (Lecture Notes in Mathematics #1859)
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- Synopsis
- 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.
- Copyright:
- 2005
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9783540315612
- Related ISBNs:
- 9783540240204
- Publisher:
- Springer Berlin Heidelberg
- Date of Addition:
- 07/28/22
- Copyrighted By:
- N/A
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.