还原群作用的交映复杂性

Indagationes Mathematicae Pub Date : 2024-03-16 DOI:10.1016/j.indag.2024.03.010

Avraham Aizenbud, Dmitry Gourevitch

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引用次数: 0

摘要

让复代数还原群作用于复代数流形 .对于零势锥的-不变子变，我们定义了一个-交映复杂性的概念。这个概念概括了 Vinberg（1986）中定义的复杂性概念。我们证明了这一概念的几个性质，并将其与艾曾布德和古雷维奇（2024）中定义的-复杂性概念联系起来，因为它与表示论有关。

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Symplectic complexity of reductive group actions

Let a complex algebraic reductive group act on a complex algebraic manifold . For a -invariant subvariety of the nilpotent cone we define a notion of -symplectic complexity of . This notion generalizes the notion of complexity defined in Vinberg (1986). We prove several properties of this notion, and relate it to the notion of -complexity defined in Aizenbud and Gourevitch (2024) motivated by its relation with representation theory.

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Indagationes Mathematicae

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