The mod- p homology of the classifying spaces of certain gauge groups.

Let $G$ be a compact connected simple Lie group of type $(n_{1},\,\ldots,\,n_{l})$ , where $n_{1}. Let $\mathcal {G}_k$ be the gauge group of the principal $G$ -bundle over $S^{4}$ corresponding to $k\in \pi _3(G)\cong \mathbb {Z}$. We calculate the mod- $p$ homology of the classifying space $B\mathcal {G}_k$ provided that $n_{l}. [ABSTRACT FROM AUTHOR]