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Deligne–Lusztig duality and wonderful compactification
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Deligne–Lusztig duality and wonderful compactification
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Name
1701.07329.pdf
Description
Accepted version
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178.52 KB
Format
Adobe PDF
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c32e68bf89225a2d62cded576802ee4a
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sword-2021-04-29T14:54:54.original.xml (130 B)
Original SWORD entry document
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Date Issued
October 2018
Journal
Selecta Mathematica, New Series
Publisher
Springer Nature
Citation
2018. "Deligne–Lusztig duality and wonderful compactification." Selecta Mathematica, New Series, 24 (1).
Version
Author's final manuscript
Abstract
© 2018, Springer International Publishing AG, part of Springer Nature. We use geometry of the wonderful compactification to obtain a new proof of the relation between Deligne–Lusztig (or Alvis–Curtis) duality for p-adic groups and homological duality. This provides a new way to introduce an involution on the set of irreducible representations of the group which has been defined by A. Zelevinsky for G= GL(n) and by A.-M. Aubert in general (less direct geometric approaches to this duality have been developed earlier by Schneider-Stuhler and by the second author). As a byproduct, we describe the Serre functor for representations of a p-adic group.
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Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
http://creativecommons.org/licenses/by-nc-sa/4.0/
Persistent DSpace Link
https://hdl.handle.net/1721.1/137322
DOI of Published Version
10.1007/S00029-018-0391-5
