2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59977We prove an explicit combinatorial formula for certain structure constants of the T-equivariant cohomology of the flag manifold SLn/B. Our result generalizes the Pieri-type formula in ordinary cohomology proved by Sottile in 1996. Our result also gives a Pieri-type formula for the double Schubert polynomials introduced by Lascoux and Schutzenberger.13 pagesAlgebraic GeometryCombinatorics05E15; 57T15A Pieri-type Formula for the Equivariant Cohomology of the Flag Manifoldtext