Abstract
In the group case, Deligne-Lusztig induction (see 3.2.1) is defined using the basis formed by characters. By making the use of Lusztig’s character sheaves, it is possible to define another “twisted” induction using the basis formed by the characteristic functions of some simple perverse sheaves so-called character sheaves. In [Lus90], it is proved, under some restrictions on p and q, that the two inductions coincide.
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© 2005 Springer-Verlag Berlin/Heidelberg
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Letellier, E. (2005). 5. Geometrical Induction. In: Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras. Lecture Notes in Mathematics, vol 1859. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31561-2_5
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DOI: https://doi.org/10.1007/978-3-540-31561-2_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24020-4
Online ISBN: 978-3-540-31561-2
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