Gr\'obner fans of Specht ideals
| Autor: | Ohsugi, Hidefumi, Yanagawa, Kohji |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we give the Gr\"obner fan and the state polytope of a Specht ideal $I_\lambda$ explicitly. In particular, we show that the state polytope of $I_\lambda$ for a partition $\lambda=(\lambda_1, \ldots, \lambda_m)$ is always a generalized permutohedron, and it is a (usual) permutohedron if and only if $\lambda_{i-1}=\lambda_i>0$ for some $i$. Comment: Exposition expanded, for example, Lemma 2.9 added. 11 pages, comments welcome |
| Databáze: | arXiv |
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