论文标题
部分可观测时空混沌系统的无模型预测
The combinatorial structure of symmetric strongly shifted ideals
论文作者
论文摘要
对称的强烈转移的理想是一类单一理想，配备了对称群体的作用，并且类似于认识良好的强稳定的单一理想。在本文中，我们关注对称理想的代数和组合特性。在代数方面，我们阐明了与理想操作，主要分解及其REES代数结构下行为有关的特性。在组合侧，我们开发了分区borel发生器的概念，该概念导致与离散的多肌化，凸多属型和固定式旋转圆环品种的连接。
Symmetric strongly shifted ideals are a class of monomial ideals which come equipped with an action of the symmetric group and are analogous to the well-studied class of strongly stable monomial ideals. In this paper we focus on algebraic and combinatorial properties of symmetric strongly shifted ideals. On the algebraic side, we elucidate properties that pertain to behavior under ideal operations, primary decomposition, and the structure of their Rees algebra. On the combinatorial side, we develop a notion of partition Borel generators which leads to connections to discrete polymatroids, convex polytopes, and permutohedral toric varieties.
