Sp(2)$的谱测量

Pub Date : 2024-01-30 DOI:10.4310/pamq.2023.v19.n5.a1

David Evans, Mathew Pugh

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引用次数: 0

摘要

光谱度量通过融合模块为编织子因子提供不变式。本文研究了与紧凑连通的二级李群$SO(5)$及其双盖紧凑连通、简单连通的二级李群$Sp(2)$相关的联合谱量，包括$Sp(2)$和$SO(5)$的不可还原表示的麦凯图及其最大环，以及与$Sp(2)$模块不变式相关的融合模块。

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Spectral measures for $Sp(2)$

Spectral measures provide invariants for braided subfactors via fusion modules. In this paper we study joint spectral measures associated to the compact connected rank two Lie group $SO(5)$ and its double cover the compact connected, simply-connected rank two Lie group $Sp(2)$, including the McKay graphs for the irreducible representations of $Sp(2)$ and $SO(5)$ and their maximal tori, and fusion modules associated to the $Sp(2)$ modular invariants.

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