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On the W-action on B-sheets in positive characteristic

Authors
  • Knop, Friedrich
  • Pezzini, Guido
Type
Published Article
Publication Date
Jan 29, 2015
Submission Date
Aug 07, 2013
Identifiers
DOI: 10.1090/S1088-4165-2015-00464-9
Source
arXiv
License
Yellow
External links

Abstract

Let G be a connected reductive group defined over an algebraically closed ground field of characteristic p, let B be a Borel subgroup of G, and let X be a G-variety. The first named author has shown that for p = 0 there is a natural action of the Weyl group W on the (finite) set of closed B-invariant subvarieties of X that are of maximal modularity, and conjectured that the same construction yields a W-action whenever p is different from 2. In the present paper we prove this conjecture.

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