Gushel–Mukai varieties with many symmetries and an explicit irrational Gushel–Mukai threefold

Double EPW-sextics with actions of A7 and irrational GM threefolds

“…This article is primarily inspired by [DM21], where many ideas have been taken from and adjusted to our case. However, the search for symmetric hyper-Kähler manifolds has been of interest in recent years.…”