颤振子表示的角条件和矩映射

IF 0.5 4区数学 Q3 MATHEMATICS

Pure and Applied Mathematics Quarterly Pub Date : 2023-11-20 DOI:10.4310/pamq.2023.v19.n4.a1

Velleda Baldoni, Michèle Vergne, Michael Walter

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引用次数: 4

摘要

我们给出了表征一般颤振表示的子表示的舒伯特位置的归纳条件。我们的结果推广了Belkale关于Grassmannians中Schubert变体的交点准则，并改进了Schofield关于一般子表示的维向量的表征。这意味着与群$G = \prod_x \mathrm{GL}(n_x)$的线性表示相关联的力矩锥的Horn型不等式与一个颤振和一个维向量$n = (n_x)$相关联。

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Horn conditions for quiver subrepresentations and the moment map

We give inductive conditions that characterize the Schubert positions of subrepresentations of a general quiver representation. Our results generalize Belkale’s criterion for the intersection of Schubert varieties in Grassmannians and refine Schofield’s characterization of the dimension vectors of general subrepresentations. This implies Horn type inequalities for the moment cone associated to the linear representation of the group $G = \prod_x \mathrm{GL}(n_x)$ associated to a quiver and a dimension vector $n = (n_x)$.

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来源期刊

Pure and Applied Mathematics Quarterly 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.