On quasiinvariants of $S_n$ of hook shape

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dc.creatorTsuchida, Tadayoshi
dc.date2008-07-11
dc.date.accessioned2026-07-07T09:49:53Z
dc.date.available2026-07-07T09:49:53Z
dc.descriptionChalykh, Veselov and Feigin introduced the notions of quasiinvariants for 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 basis for the components indexed by standard tableaux of shape $(n-1,1)$. In this paper, we generalize their results to a description of basis for the components indexed by standard tableaux of arbitrary hook shape.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/0807.1892
dc.identifierhttp://arxiv.org/abs/0807.1892
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164754
dc.subjectCombinatorics
dc.subject68R05; 05E10
dc.titleOn quasiinvariants of $S_n$ of hook shape
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