Pipe dreams for Schubert polynomials of the classical groups
arXiv:2009.14120 · doi:10.1016/j.ejc.2022.103613
Abstract
Schubert polynomials for the classical groups were defined by S.Billey and M.Haiman in 1995; they are polynomial representatives of Schubert classes in a full flag variety of a classical group. We provide a combinatorial description for these polynomials, as well as their double versions, by introducing analogues of pipe dreams, or RC-graphs, for the Weyl groups of the classical types.
36 pages, 10 figures. v2: appendix added. v3: Sec 4 added. Final version, to appear in European Journal of Combinatorics