Deligne–Lusztig duality and wonderful compactification

Abstract 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...

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Bibliographic Details
Main Authors: Bernstein, Joseph, Bezrukavnikov, Roman, Kazhdan, David
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer International Publishing 2021
Online Access:https://hdl.handle.net/1721.1/131387