  Perverse schobers are categorifications of perverse sheaves. We construct a
perverse schober on a partial compactification of the stringy K\"ahler moduli
space (SKMS) associated by Halpern-Leistner and Sam to a quasi-symmetric
representation X of a reductive group G, extending the local system of
triangulated categories established by them. The triangulated categories
appearing in our perverse schober are subcategories of the derived category of
the quotient stack X/G.
