Pipe dreams for Schubert polynomials of the classical groups

Autor:	Smirnov, Evgeny, Tutubalina, Anna
Rok vydání:	2020
Předmět:	Mathematics - Combinatorics Mathematics - Algebraic Geometry 05E14 (Primary) 14N15 14M15 (Secondary)
Zdroj:	European Journal of Combinatorics 107 (2023) 103613
Druh dokumentu:	Working Paper
DOI:	10.1016/j.ejc.2022.103613
Popis:	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. Comment: 36 pages, 10 figures. v2: appendix added. v3: Sec 4 added. Final version, to appear in European Journal of Combinatorics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.14120 Zobrazit plný text záznamu View this record from Arxiv