Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras is popular PDF and ePub book, written by Emmanuel Letellier in 2004-11-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras can be Read Online from any device for your convenience.
Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras Book PDF Summary
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.
Detail Book of Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras PDF
- Author : Emmanuel Letellier
- Release : 15 November 2004
- Publisher : Springer
- ISBN : 9783540315612
- Genre : Mathematics
- Total Page : 165 pages
- Language : English
- PDF File Size : 19,6 Mb
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