Braided quantum symmetries of finite spaces

Abstract: In 1998, Shuzhou Wang introduced the notion of quantum symmetry of finite (classical and quantum) spaces based on the following idea: the automorphism group of a finite set is a universal object in a particular category of compact groups. In particular, he has observed that a set with four or more points admits non-classical permutation. In the first part of this talk, we shall explain this construction in detail. Then, we will discuss a general situation where we shall capture the quantum symmetries of finite spaces equipped with an action of a group. The second part of the talk is based on a joint work with Anshu, Suvrajit Bhattacharjee and Atibur Rahaman.