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Science/Engineering Statistical Mechanics, Third Edition
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Science/Engineering Testtheorie und Fragebogenkonstruktion (Springer-Lehrbuch)
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Science/Engineering Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras (Lecture Notes in Mathematics): Emmanuel Letellier
Posted on 2010-03-16
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More Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras (Lecture Notes in Mathematics): Emmanuel Letellier 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 Lusztigs 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. To see my other books, click Download Link (Here).
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