Vector invariants of a class of pseudo-reflection groups and multisymmetric syzygiesReport as inadecuate



 Vector invariants of a class of pseudo-reflection groups and multisymmetric syzygies


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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.



Author: M. Domokos

Source: https://archive.org/







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