Knop F, Pezzini G (2015)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2015
Publisher: American Mathematical Society
Book Volume: 19
Pages Range: 9-23
URI: http://www.algeo.math.fau.de/fileadmin/algeo/users/knop/papers/waction.html
DOI: 10.1090/S1088-4165-2015-00464-9
Let G be a connected reductive group defined over an algebraically closed base field of characteristic p >= 0, let B subset of G be a Borel subgroup, and let X be a G-variety. We denote the (finite) set of closed B-invariant irreducible subvarieties of X that are of maximal complexity by B-0(X). The first named author has shown that for p = 0 there is a natural action of the Weyl group W on B-0(X) and conjectured that the same construction yields a W-action whenever p not equal 2. In the present paper, we prove this conjecture.
APA:
Knop, F., & Pezzini, G. (2015). On the W-action on B-sheets in positive characteristic. Representation Theory, 19, 9-23. https://doi.org/10.1090/S1088-4165-2015-00464-9
MLA:
Knop, Friedrich, and Guido Pezzini. "On the W-action on B-sheets in positive characteristic." Representation Theory 19 (2015): 9-23.
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