Geodesic
Homotopy representations over the orbit category
Homology, homotopy, and applications, Tome 16 (2014) no. 2, pp. 345-369.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2014.v16.n2.a19
Classification : 18G35, 20J05, 55U15, 57S17
Keywords: homotopy representation, orbit category 
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     pages = {345--369},
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Ian Hambleton; Ergün Yalçin. Homotopy representations over the orbit category. Homology, homotopy, and applications, Tome 16 (2014) no. 2, pp. 345-369. doi : 10.4310/HHA.2014.v16.n2.a19. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n2.a19/

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