Mackey functors for fusion systems
Mackey functors for fusion systems
批准号:
2436890
负责人:
金额:
$0.0万
依托单位:
依托单位国家:
英国
项目类别:
Studentship
财政年份:
2020
资助国家:
英国
项目状态:
未结题
起止时间:
2020 至 --
中文摘要
该项目包括定义一个概念的麦基函子的饱和融合系统在有限的p-群。Mackey函子目前只定义在有限群上,本项目的第一个目标是将Mackey函子的3个定义应用于融合系统。目前,只有伯恩赛德麦基函子已被定义为融合系统。在第二阶段,学生将学习这些函子的性质。根据结果,该项目可以扩展到融合系统的Tambara函子的模拟练习。
英文摘要
The project consists in defining a notion of a Mackey functor for a saturated fusion system over a finite p-group. Mackey functors are presently only defined for finite groups, and the first objectve of the project is to adapt the 3 definitions of a Mackey functor to fusion systems. At present, only the Burnside Mackey functor has been defined for fusion systems. In a second stage, the student will study the properties of such functors. Depending on the results, the project could extend to the analogue exercise for Tambara functors for fusion systems.
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