In this talk, we present a construction of projective (unitary) representations of Hecke groups from the vector spaces associated with the Witten-Reshetikhin-Turaev topological quantum field theory of higher genus surfaces. These representations can be viewed as generalizations of the modular data of the Temperley-Lieb-Jones modular categories. Finally, we discuss properties of these representations including the (in)finiteness of the image and the reducibility.

网址：https://yilongwang11.github.io/seminar/BIMSA-THU-quan-sym/quan-sym.html