Hecke Bicategory
The Hecke Bicategory
摘要：
我们给出了群化程序的一个应用，它导致了Hecke代数体范畴化的一个草图--有限群的置换表示范畴。作为直接的结果，我们获得了赫克代数的分类。我们提出了一个明确的连接到新的更高的同构所产生的发病率的几何形状，这是解决方案的Zamolodchikov四面体方程。本文是简洁的风格，是指作为同伴高维代数七：Groupoidification和探索的结构所产生的工作正在进行中，高维代数八：赫克Bicategory，其中介绍了赫克bicategory详细。
英文摘要：
We present an application of the program of groupoidification leading up to a sketch of a categorification of the Hecke algebroid --- the category of permutation representations of a finite group. As an immediate consequence, we obtain a categorification of the Hecke algebra. We suggest an explicit connection to new higher isomorphisms arising from incidence geometries, which are solutions of the Zamolodchikov tetrahedron equation. This paper is expository in style and is meant as a companion to Higher Dimensional Algebra VII: Groupoidification and an exploration of structures arising in the work in progress, Higher Dimensional Algebra VIII: The Hecke Bicategory, which introduces the Hecke bicategory in detail.
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