A homotopy construction of the adjoint representation for Lie groups

NATÀLIA CASTELLANA, NITU KITCHLOO
2002 Mathematical proceedings of the Cambridge Philosophical Society (Print)  
Let G be a compact, simply-connected, simple Lie group and T ⊂ G a maximal torus. The purpose of this paper is to study the connection between various fibrations over BG (where G is a compact, simply-connected, simple Lie group) associated to the adjoint representation and homotopy colimits over poset categories C, hocolim C BG I where G I are certain connected maximal rank subgroups of G.
doi:10.1017/s0305004102005947 fatcat:tfy36da6lfeybofhodvxsjmuza