L'algèbre des invariants d'un groupe de Coxeter agissant sur un mutiple de sa représentation standard

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dc.creatorFoissy, Loïc
dc.date2007-11-28
dc.date.accessioned2026-07-07T08:45:50Z
dc.date.available2026-07-07T08:45:50Z
dc.descriptionLet G be a Coxeter group of type A_n, B_n, D_n or I_2(N), or a complex reflection group of type G(de,e,n). Let V be its standard representation and let k be an integer greater than 2. Then G acts on S(V)^{\otimes k}. We show that the algebra of invariants (S(V)^{\otimes k})^G is a free (S(V)^G)^{\otimes k}-module of rank |G|^{k-1}, and that S(V)^{\otimes k} is not a free (S(V)^{\otimes k})^G-module.
dc.description13 pages, french
dc.identifierhttps://arxiv.org/abs/0711.4494
dc.identifierhttp://arxiv.org/abs/0711.4494
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143087
dc.subjectRings and Algebras
dc.subject13A50, 17B10
dc.titleL'algèbre des invariants d'un groupe de Coxeter agissant sur un mutiple de sa représentation standard
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