Abstract
This paper deals with necessary conditions for the existence of equivariant maps between the unit spheres of unitary representations of a cyclic $p$-group $G$. T. Bartsch gave a necessary condition for some unitary representations of $G$ by using equivariant $K$-theory. We give two necessary conditions following Bartsch's approach. One is a generalization of Bartsch's result for any unitary representation of $G$ which does not contain the trivial representation. The other is a stronger necessary condition for some special cases.
Citation
Ko Ohashi. "Equivariant maps between representation spheres of cyclic ${p}$-groups." Osaka J. Math. 54 (4) 647 - 659, October 2017.