Representation Stability of Power Sets and Square Free Polynomials
Canadian journal of mathematics, Tome 67 (2015) no. 5, pp. 1024-1045
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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.
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
@article{10_4153_CJM_2014_029_2,
author = {Ashraf, Samia and Azam, Haniya and Berceanu, Barbu},
title = {Representation {Stability} of {Power} {Sets} and {Square} {Free} {Polynomials}},
journal = {Canadian journal of mathematics},
pages = {1024--1045},
year = {2015},
volume = {67},
number = {5},
doi = {10.4153/CJM-2014-029-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-029-2/}
}
TY - JOUR AU - Ashraf, Samia AU - Azam, Haniya AU - Berceanu, Barbu TI - Representation Stability of Power Sets and Square Free Polynomials JO - Canadian journal of mathematics PY - 2015 SP - 1024 EP - 1045 VL - 67 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-029-2/ DO - 10.4153/CJM-2014-029-2 ID - 10_4153_CJM_2014_029_2 ER -
%0 Journal Article %A Ashraf, Samia %A Azam, Haniya %A Berceanu, Barbu %T Representation Stability of Power Sets and Square Free Polynomials %J Canadian journal of mathematics %D 2015 %P 1024-1045 %V 67 %N 5 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-029-2/ %R 10.4153/CJM-2014-029-2 %F 10_4153_CJM_2014_029_2
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