Geodesic
Representation theory for the Križ model
Ashraf, Samia1 ; Azam, Haniya2 ; Berceanu, Barbu3
1Abdus Salam School of Mathematical Sciences, GC University, 68-B New Muslim Town, Lahore-54600, Pakistan
2Abdus Salam School of Mathematical Sciences, GC University, Katchery Road, Lahore-54600, Pakistan
3Institute of Mathematics Simion Stoilow, PO Box 1-764, RO-014700 Bucharest, Romania
Algebraic and Geometric Topology, Tome 14 (2014) no. 1, pp. 57-90
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The natural action of the symmetric group on the configuration spaces F(X,n) induces an action on the Križ model E(X,n). The representation theory for this complex is studied and a big acyclic subcomplex which is Sn–invariant is described.

DOI : 10.2140/agt.2014.14.57
Classification : 55R80, 20C30, 55P62, 13A50
Keywords: representations of symmetric groups, configuration spaces, rational model

Ashraf, Samia  1   ; Azam, Haniya  2   ; Berceanu, Barbu  3

1 Abdus Salam School of Mathematical Sciences, GC University, 68-B New Muslim Town, Lahore-54600, Pakistan
2 Abdus Salam School of Mathematical Sciences, GC University, Katchery Road, Lahore-54600, Pakistan
3 Institute of Mathematics Simion Stoilow, PO Box 1-764, RO-014700 Bucharest, Romania 
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Ashraf, Samia; Azam, Haniya; Berceanu, Barbu. Representation theory for the Križ model. Algebraic and Geometric Topology, Tome 14 (2014) no. 1, pp. 57-90. doi: 10.2140/agt.2014.14.57

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