Abstract
We briefly discuss quantum isometry groups of few more interesting examples, including the free and half-liberated spheres, examples due to Raum and Weber as well as some Drinfeld-Jimbo quantum groups. We also give the outlines of other approaches to quantum isometry groups, such as the framework of orthogonal filtrations due to Banica, Skalski and de Chanvalon, affine quantum isometry groups in the sense of Banica and quantum isometry groups of compact metric spaces due to Banica, Goswami, Sabbe and Quaegebeur. We mention several open questions in this context.
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