Homotopy Representations over the Orbit Category
classification
🧮 math.AT
math.GT
keywords
finitehomotopyrepresentationsalgebraicanaloguebasicborel-smithcategory
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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.
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