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Tower equivalence and Lusztig's truncated Fourier transform by Michel, Jean is a scholarly article available to read on EtoBox.

What is Tower equivalence and Lusztig's truncated Fourier transform about?

We give a proof of the results of Chapuy and Douvropoulos [3] for irreducible spetsial reflection groups based on Deligne-Lusztig combinatorics. In particular, if f denotes the truncated Lusztig Fourier transform, we show that the image by f of the normalized characteristic function of a Coxeter element is the alternate sum of the exterior powers of the reflection representation, and that a class function is tower equivalent to its image by f .

Author

Michel, Jean

Published

2022

Language

EN