Gröbner fans of Specht ideals
In this paper, we give the Gröbner fan and the state polytope of a Specht ideal [Formula: see text] explicitly. In particular, we show that the state polytope of [Formula: see text] for a partition [Formula: see text] is always a generalized permutohedron, and it is a (usual) permutohedron if and only if [Formula: see text] for some [Formula: see text].
Authors
- Kohji Yanagawa (ORCID: https://orcid.org/0000-0003-1716-1364)
- Hidefumi Ohsugi (ORCID: https://orcid.org/0000-0002-6403-1119)
Institutions
- Kwansei Gakuin University (JP)
- Kansai University (JP)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-02-15
- DOI
- https://doi.org/10.1142/s0219498826501720
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Japan Society for the Promotion of Science