Compute the easy envelope of the general complex reflection groups

and of other closed subgroups of [math]U_N[/math] that you know, that are not easy.

Work out the super-easiness property of the symplectic group

defined for [math]N\in\mathbb N[/math] even, then try as well the groups [math]SU_2[/math] and [math]SO_3[/math].

Prove that when lifting the uniformity assumption, the groups

with the convention [math]G_N'=G_N\times\mathbb Z_2[/math], are the only easy real groups.

Prove that the uniform, purely unitary easy groups are

with a suitable definition for the notion of pure unitarity.

Learn a bit about quantum groups, and about easy quantum groups, as to understand the definition of the main [math]8[/math] easy quantum groups, namely

and the Ground Zero theorem in quantum groups, stating that under suitable, strong combinatorial assumptions, these are the only [math]8[/math] quantum groups.