Symmetries of subfactors

子因子的对称性

• 批准号: DP140100732
• 负责人: Dr Pinhas Grossman
• 金额: $ 25.18万
• 依托单位: The University of New South Wales
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2014
• 资助国家: 澳大利亚
• 起止时间: 2014-01-01 至 2018-06-30
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP140100732
• 关键词: Symmetries; subfactors

A subfactor is a mathematical object that encodes "quantum" symmetries which may be thought of as generalisations of group symmetries. This project will study subfactors and classify families of subfactor symmetries which include the exotic subfactors of small index. It will also develop computational tools for analysing and cataloguing these symmetries. This project contributes to the development of operator algebra theory, and the new mathematical fields of quantum algebra and quantum topology; it also has applications to physical models.

子因子是一个数学对象，它编码了“量子”对称性，可以被认为是群对称性的概括。本计画将研究子因子，并对包含小指标的奇异子因子的子因子对称性族进行分类。它还将开发用于分析和编目这些对称性的计算工具。该项目有助于算子代数理论的发展，以及量子代数和量子拓扑学的新数学领域;它也应用于物理模型。