A description based on Schubert classes of cohomology of flag manifolds

dc.creatorNakagawa, Masaki
dc.date2007-09-06
dc.date2008-07-25
dc.date.accessioned2026-07-07T09:52:28Z
dc.date.available2026-07-07T09:52:28Z
dc.descriptionWe describe the integral cohomology rings of the flag manifolds of types B_n, D_n, G_2 and F_4 in terms of their Schubert classes. The main tool is the divided difference operators of Bernstein-Gelfand-Gelfand and Demazure. As an application, we compute the Chow rings of the corresponding complex algebraic groups, recovering thereby the results of R. Marlin.
dc.description25 pages, AMS-LaTeX; typos corrected, an error concerning the Schubert classes corrected, Remarks 4.4 and 4.8 added
dc.identifierhttps://arxiv.org/abs/0709.0785
dc.identifierhttp://arxiv.org/abs/0709.0785
dc.identifierFund. Math. 199(2008), 273-293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165609
dc.subjectAlgebraic Topology
dc.subjectAlgebraic Geometry
dc.subject57T15, 14M15
dc.titleA description based on Schubert classes of cohomology of flag manifolds
dc.typetext

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