On quasiinvariants of $S_{n}$ of hook shape
Tsuchida, Tadayoshi
Osaka J. Math., Tome 47 (2010) no. 1, p. 461-485 / Harvested from Project Euclid
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O. Chalykh, A.P. Veselov and M. Feigin introduced the notion of quasiinvariants of Coxeter groups, which is a generalization of invariants. In [2], Bandlow and Musiker showed that for the symmetric group $S_{n}$ of order $n$, the space of quasiinvariants has a decomposition indexed by standard tableaux. They gave a description of a basis for the components indexed by standard tableaux of shape $(n-1,1)$. In this paper, we generalize their results to a description of a basis for the components indexed by standard tableaux of arbitrary hook shape.
Publié le : 2010-06-15
Classification:  68R05,  05E10 
@article{1277298913,
     author = {Tsuchida, Tadayoshi},
     title = {On quasiinvariants of $S\_{n}$ of hook shape},
     journal = {Osaka J. Math.},
     volume = {47},
     number = {1},
     year = {2010},
     pages = { 461-485},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1277298913}
}

Tsuchida, Tadayoshi. On quasiinvariants of $S_{n}$ of hook shape. Osaka J. Math., Tome 47 (2010) no. 1, pp.  461-485. http://gdmltest.u-ga.fr/item/1277298913/