Level algebras and s-lecture hall polytopes
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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2020-09-04
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en
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23
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Electronic Journal of Combinatorics, Volume 27, issue 3, pp. 1-23
Abstract
Given a family of lattice polytopes, a common endeavor in Ehrhart theory is the classification of those polytopes in the family that are Gorenstein, or more generally level. In this article, we consider these questions for s-lecture hall polytopes, which are a family of simplices arising from s-lecture hall partitions. In particular, we provide concrete classifications for both of these properties purely in terms of sinversion sequences. Moreover, for a large subfamily of s-lecture hall polytopes, we provide a more geometric classification of the Gorenstein property in terms of its tangent cones. We then show how one can use the classification of level s-lecture hall polytopes to construct infinite families of level s-lecture hall polytopes, and to describe level s-lecture hall polytopes in small dimensions.Description
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Kohl, F & Olsen, M 2020, ' Level algebras and s-lecture hall polytopes ', Electronic Journal of Combinatorics, vol. 27, no. 3, P3.50, pp. 1-23 . https://doi.org/10.37236/8626