论文标题

共振安排的稳定现象

Stability phenomena for resonance arrangements

论文作者

Ramos, Eric, Proudfoot, Nicholas

论文摘要

我们证明,ITH对共振安排的Orlik-Solomon代数或Cordovil代数的分级片段形成了有限生成的FS^op-Module,从而获得了有关其维度的增长和限制其所包含的对称组的不可修复表示的信息。

We prove that the ith graded pieces of the Orlik-Solomon algebras or Cordovil algebras of resonance arrangements form a finitely generated FS^op-module, thus obtaining information about the growth of their dimensions and restrictions on the irreducible representations of symmetric groups that they contain.

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