Derivations of a Sullivan Model and the Rationalized G -Sequence

Abstract

Let $G_{k,n}\left(ℂ\right)$ for $2\le k<n$ denote the Grassmann manifold of $k$ -dimensional vector subspaces of ${ℂ}^n$ . In this paper, we compute, in terms of the Sullivan models, the rational evaluation subgroups and, more generally, the $G$ -sequence of the inclusion $G_{2,n}\left(ℂ\right)\mathrm{\rightarrowtail }{G}_{2,n+r}\left(ℂ\right)$ for $r\ge 1$ .