Vector invariants of a class of pseudo-reflection groups and multisymmetric syzygies
نویسنده
چکیده
First and second fundamental theorems are given for polynomial invariants of a class of pseudo-reflection groups (including the Weyl groups of type Bn), 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. MSC: 13A50, 14L30, 20G05
منابع مشابه
Fundamental theorems for invariants of a class of pseudo-reflection groups
First and second fundamental theorems are given for polynomial invariants of an infinite class of pseudo-reflection groups (including the Weyl groups of type Bn), under the assumption that the order of the group is invertible in the base field. MSC: 13A50, 14L30, 20G05
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