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

M. Domokos

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

Representation Theory 2015-02-12 v2 Algebraic Geometry

Authors: M. Domokos

Abstract

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.

Keywords

pseudo-reflection groups polynomial invariants fundamental theorems multisymmetric polynomials invariant commuting scheme Weyl groups

Cite

@article{arxiv.0706.2154,
  title  = {Vector invariants of a class of pseudo-reflection groups and multisymmetric syzygies},
  author = {M. Domokos},
  journal= {arXiv preprint arXiv:0706.2154},
  year   = {2015}
}

Comments

Joining the contents of math.RT/0602303v3 and math.RT/0611430v1 plus some additional material

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

Abstract

Keywords

Cite

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