简单几何有丝分裂

IF 0.9 2区数学 Q2 MATHEMATICS

Journal of Combinatorial Theory Series A Pub Date : 2025-02-24 DOI:10.1016/j.jcta.2025.106022

Valentina Kiritchenko

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引用次数: 0

摘要

在两个多面体的Cayley和的面上构造了简单的几何运算。这些操作可以被认为是舒伯特微积分中差除算子的凸几何对应物。我们证明了这些操作在Gelfand-Zetlin多面体的Kogan面上给出了a型的Knutson-Miller有丝分裂和C型的Fujita有丝分裂的统一结构。

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Simple geometric mitosis

We construct simple geometric operations on faces of the Cayley sum of two polytopes. These operations can be thought of as convex geometric counterparts of divided difference operators in Schubert calculus. We show that these operations give a uniform construction of Knutson–Miller mitosis in the type A and Fujita mitosis in the type C on Kogan faces of Gelfand–Zetlin polytopes.

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来源期刊

Journal of Combinatorial Theory Series A 数学-数学

CiteScore

2.90

自引率

9.10%

发文量

审稿时长

12 months

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.