Equivariant maps between representation spheres

Zbigniew Błaszczyk, Wacław Marzantowicz, Mahender Singh

Let $G$ be a compact Lie group. We prove that if $V$ and $W$ are orthogonal $G$-representations such that $V^G=W^G=\{0\}$, then a $G$-equivariant map $S(V)\to S(W)$ exists provide…