Homology, Homotopy and Applications
Volume 16 (2014)
Homotopy representations over the orbit category
Pages: 345 – 369
Let $G$ be a finite group. The unit sphere in a finite-dimensional orthogonal $G$-representation motivates the definition of homotopy representations, due to tom Dieck. We introduce an algebraic analogue and establish its basic properties, including the Borel-Smith conditions and realization by finite $G$-CW-complexes.
homotopy representation, orbit category
2010 Mathematics Subject Classification
18G35, 20J05, 55U15, 57S17