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Edifices: building-like spaces associated to linear algebraic groups

Edifices: building-like spaces associated to linear algebraic groups

Given a semisimple linear algebraic k-group G, one has a spherical building ∆ G , and one can interpret the geometric realisation ∆ G (R) of ∆ G in terms of cocharacters of G.The aim of this paper is to extend this construction to the case when G is an …