Article Instance

HTTP 200 OK
Allow: GET
Content-Type: application/json
Vary: Accept

{
    "pk": 64946,
    "title": "\\(P\\)-partitions with flags and back stable quasisymmetric functions",
    "subtitle": null,
    "abstract": "Stanley's theory of \\((P,\\omega)\\)-partitions is a standard tool in combinatorics. It can be extended to allow for the presence of a restriction, that is a given maximal value for partitions at each vertex of the poset, as was shown by Assaf and Bergeron. Here we present a variation on their approach, which applies more generally. The enumerative side of the theory is more naturally expressed in terms of back stable quasisymmetric functions. We study the space of such functions, following the work of Lam, Lee and Shimozono on back stable symmetric functions. As applications we describe a new basis for the ring of polynomials that we call forest polynomials. Additionally we give a signed multiplicity-free expansion for any monomial expressed in the basis of slide polynomials.\n \nMathematics Subject Classifications: 05E05, 06A07\n \nKeywords: P-partitions, quasisymmetric functions, slide polynomials",
    "language": "en",
    "license": {
        "name": "Creative Commons Attribution 4.0",
        "short_name": "CC BY 4.0",
        "text": "Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.\n\nNo additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.",
        "url": "https://creativecommons.org/licenses/by/4.0"
    },
    "keywords": [
        {
            "word": "P-partitions"
        },
        {
            "word": "quasisymmetric functions"
        },
        {
            "word": "slide polynomials"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/0db8n8q1",
    "frozenauthors": [
        {
            "first_name": "Philippe",
            "middle_name": "",
            "last_name": "Nadeau",
            "name_suffix": "",
            "institution": "Universite Claude Bernard Lyon 1, CNRS, Ecole Centrale de Lyon, INSA Lyon, Université Jean Monnet, ICJ UMR5208, 69622 Villeurbanne, France",
            "department": ""
        },
        {
            "first_name": "Vasu",
            "middle_name": "",
            "last_name": "Tewari",
            "name_suffix": "",
            "institution": "Department of Mathematical and Computational Sciences, University of Toronto Mississauga, Mississauga, ON L5L 1C6, Canada",
            "department": ""
        }
    ],
    "date_submitted": "2024-09-26T15:41:56+02:00",
    "date_accepted": "2024-09-26T15:41:56+02:00",
    "date_published": "2024-09-30T09:00:00+02:00",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64946/galley/49756/download/"
        }
    ]
}