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Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras (Lecture Notes in Mathematics, Vol. 1859) 4.0%OFF

Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras (Lecture Notes in Mathematics, Vol. 1859)

by Emmanuel Letellier

  • ISBN

    :  

    9783540240204

  • Publisher

    :  

    Springer

  • Subject

    :  

    Mathematics, Education

  • Binding

    :  

    PAPERBACK

  • Pages

    :  

    176

  • Year

    :  

    2005

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4261.0

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4090.0

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  • 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 Lusztigx2019;s character sheaves theory. He conjectures a commutation formula between Deligne-Lusztig induction and Fourier transforms thatxA0;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.

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