

Author: Hoffnung Alexander E.
Publisher: MDPI
E-ISSN: 2075-1680|1|3|291-323
ISSN: 2075-1680
Source: Axioms, Vol.1, Iss.3, 2012-10, pp. : 291-323
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
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
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