Geodesic
Representation Stability of Power Sets and Square Free Polynomials
Canadian journal of mathematics, Tome 67 (2015) no. 5, pp. 1024-1045

Voir la notice de l'article provenant de la source Cambridge University Press

The symmetric group ${{\mathcal{S}}_{n}}$ acts on the power set $\mathcal{P}\left( n \right)$ and also on the set of square free polynomials in $n$ variables. These two related representations are analyzed from the stability point of view. An application is given for the action of the symmetric group on the cohomology of the pure braid group.
DOI : 10.4153/CJM-2014-029-2
Mots-clés : 20C30, 13A50, 20F36, 55R80, symmetric group modules, square free polynomials, representation stability, Arnoldalgebra 
Ashraf, Samia; Azam, Haniya; Berceanu, Barbu. Representation Stability of Power Sets and Square Free Polynomials. Canadian journal of mathematics, Tome 67 (2015) no. 5, pp. 1024-1045. doi: 10.4153/CJM-2014-029-2
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