Volume 14, issue 1 (2014)

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Representation theory for the Križ model

Samia Ashraf, Haniya Azam and Barbu Berceanu

Algebraic & Geometric Topology 14 (2014) 57–90
Abstract

The natural action of the symmetric group on the configuration spaces $F\left(X,n\right)$ induces an action on the Križ model $E\left(X,n\right)$. The representation theory for this complex is studied and a big acyclic subcomplex which is ${\mathsc{S}}_{n}$–invariant is described.

Keywords
representations of symmetric groups, configuration spaces, rational model
Mathematical Subject Classification 2010
Primary: 55R80, 20C30
Secondary: 55P62, 13A50