%0 Journal Article
%T Vector invariants of a class of pseudo-reflection groups and multisymmetric syzygies
%A M. Domokos
%J Mathematics
%D 2007
%I arXiv
%X First and second fundamental theorems are given for polynomial invariants of a class of pseudo-reflection groups (including the Weyl groups of type $B_n$), under the assumption that the order of the group is invertible in the base field. Special case of the result is a finite presentation of the algebra of multisymmetric polynomials. Reducedness of the invariant commuting scheme is proved as a by-product. The algebra of multisymmetric polynomials over an arbitrary base ring is revisited.
%U http://arxiv.org/abs/0706.2154v2