Vector Invariants of a Class of Pseudoreflection Groups and Multisymmetric Syzygies

被引：0

作者：

Domokos, M. ^{[1
]}

机构：

[1] Hungarian Acad Sci, Renyi Inst Math, H-1364 Budapest, Hungary

来源：

JOURNAL OF LIE THEORY | 2009年 / 19卷 / 03期

关键词：

Multisymmetric polynomials; reflection groups; polynomial invariant; second fundamental theorem; ideal of relations; trace identities; FINITE-GROUPS; SYMMETRIC-GROUPS; RING; REPRESENTATIONS; GENERATORS; THEOREM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

First and second fundamental theorems are given for polynomial invariants of a class of pseudo-reflection groups (including the Weyl groups of type B.), under the assumption that the order of the group is invertible in the base field. As a special case, a finite presentation of the algebra of multisymmetric polynomials is obtained. Reducedness of the invariant commuting scheme is proved as a by-product. The algebra of multisymmetric polynomials over an arbitrary base ring is revisited.

引用

页码：507 / 525

页数：19