Journal of the
Korean Mathematical Society JKMS

In this paper, we reduce the classification problem of equivariant (topological complex) vector bundles over a simple graph to the classification problem of their isotropy representations at vertices and midpoints of edges. Then, we solve the reduced problem in the case when the simple graph is homeomorphic to a circle. So, the paper could be considered as a generalization of \cite{CKMS}.

Keywords: equivariant vector bundle, representation

MSC numbers: Primary 57S25; Secondary 20C99