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Poset cone and weighted P−partitions enumerator
dc.creator | Pešović, Marko | |
dc.date.accessioned | 2022-10-04T11:34:33Z | |
dc.date.available | 2022-10-04T11:34:33Z | |
dc.date.issued | 2022 | |
dc.identifier.uri | https://grafar.grf.bg.ac.rs/handle/123456789/2704 | |
dc.description.abstract | For a poset P on [n] we associate the poset cone C_P := cone{e_i − e_j : i <_P j}, where e_1, e_2, . . . , e_n are the standard basis vectors in R^n. The normal fan N(C_P) of this polyhedron is a coarsening of a subfan of the braid arrangement fan, given by hyperplanes {x_i = x_j}, for 1≤i<j≤n. Weighted P−partitions enumerator F_q has an algebraic meaning as the universal morphism from a certain combinatorial Hopf algebra of posets P to the Hopf algebra QSym of quasisymmetric functions. For a well labelled poset P and q = 0 enumerator Fq specializes to the classical Gessel's P−partitions enumerator. We also provide an example of posets with the same P−partitions enumerators but which are distinguished by corresponding weighted quasisymmetric enumerators. | sr |
dc.language.iso | en | sr |
dc.rights | openAccess | sr |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.source | Kongres mladih matematičara u Novom Sadu KMMNS2 Septembar, 29 – Oktobar, 1, 2022 Novi Sad, Srbija | sr |
dc.title | Poset cone and weighted P−partitions enumerator | sr |
dc.type | conferenceObject | sr |
dc.rights.license | BY-NC-ND | sr |
dc.identifier.fulltext | http://grafar.grf.bg.ac.rs/bitstream/id/10435/KnjigaSazetakaKMMNS2.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_grafar_2704 | |
dc.type.version | publishedVersion | sr |