The mod 3 homology of the space of loops on the exceptional Lie groups and the adjoint action

Abstract

Let p be a prim e num ber and G be a compact, connected, simply connected and simple Lie group. Let QG be the loop space of G. Bott showed H*(QG;Z /p) is a finitely generated bicommutative Hopf algebra concentrated in even degrees, and determined it for classical groups G (D i).