Representation theory for the Kriz model
Samia Ashraf, Haniya Azam, Barbu Berceanu
TL;DR
This paper studies the representation theory of the symmetric group acting on the Kriz model of configuration spaces, identifying an invariant acyclic subcomplex.
Contribution
It introduces a detailed analysis of the symmetric group's action on the Kriz model and describes a significant invariant acyclic subcomplex.
Findings
Identifies an Sn-invariant acyclic subcomplex within the Kriz model.
Analyzes the representation theory of the symmetric group on the model.
Provides structural insights into the action of symmetric groups on configuration space models.
Abstract
The natural action of the symmetric group on the configuration spaces F(X; n) induces an action on the Kriz model E(X; n). The represen- tation theory of this DGA is studied and a big acyclic subcomplex which is Sn-invariant is described.
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