Note on the Deodhar decomposition of a double Schubert cell

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dc.creatorDudas, Olivier
dc.date2008-07-14
dc.date.accessioned2026-07-07T09:50:13Z
dc.date.available2026-07-07T09:50:13Z
dc.descriptionWe show that for an algebraic reductive group $G$, the partition of a double Schubert cell in the flag variety $G/B$ defined by Deodhar, and coming from a Bialynicki-Birula decomposition, is not a stratification in general. We give a counterexample for a group of type B$_n$, where the closure of some specific cell of dimension $2n$ has a non-trivial intersection with a cell of dimension $3n-3$
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0807.2198
dc.identifierhttp://arxiv.org/abs/0807.2198
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164864
dc.subjectAlgebraic Geometry
dc.subjectGroup Theory
dc.titleNote on the Deodhar decomposition of a double Schubert cell
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