Rational stable homotopy type of equivariant projective spaces and Grassmannians

Samik Basu, Vanny Doem, Chandal Nahak

We prove explicit rational stable splittings of equivariant complex projective spaces $\mathbb{C}P(V)$ and Grassmannians $G{r}_n(V)$, for complex representations $V$. When $V$ is a s…