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Reflections acting efficiently on a building

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Veröffentlicht/Copyright: 18. Mai 2006
Forum Mathematicum
Aus der Zeitschrift Band 18 Heft 3

Abstract

We show how Radon transforms may be used to apply efficiently the class sum of reflections in the finite general linear group GLn(𝔽q) to vectors in permutation modules arising from the action of GLn(𝔽q) on the building of type An −1(𝔽q).


(Communicated by Giorgio Talenti)


Received: 2003-09-25
Revised: 2004-07-01
Published Online: 2006-05-18
Published in Print: 2006-05-01

© Walter de Gruyter

Heruntergeladen am 17.4.2026 von https://www.degruyterbrill.com/document/doi/10.1515/FORUM.2006.023/html?lang=de
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