The Ring of Equivariant Vector Bundles on Finite Sets Original Research Article

For a finite group, we define a ring of equivariant vector bundles on finite sets which is an expanded version of the Green ring of representations of the group. We give a new proof of a decomposition of this ring into a direct sum of ideals. We use this decomposition to present Boltje′s derivation of an explicit formula for Conlon induction. We show that some properties of characters of the Green ring have analogs for this ring of vector bundles.