Higher homotopy associativity in the Harris decomposition of Lie groups

Daisuke Kishimoto, Toshiyuki Miyauchi

Let $(G,H)=(SU(2n+1),SO(2n+1)),(SU(2n),Sp(n)),(SO(2n),SO(2n-1)),(E_6,F_4),(Spin(8),G_2)$, and let $p$ be any prime $\ge 5$ for $(G,H)=(E_6,F_4)$, any prime $p\ne 3$ for $(G…