Quasi-invariants of dihedral systems

被引：2

作者：

Feigin, MV ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, London SW7 2AZ, England

来源：

MATHEMATICAL NOTES | 2004年 / 76卷 / 5-6期

关键词：

coxeter system; invariant; invariant ring; quasi-invariant; harmonic polynomial;

D O I：

10.1023/B:MATN.0000049671.38147.7e

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For two-dimensional Coxeter systems with arbitrary multiplicities, a basis of the module of quasi-invariants over the invariants is explicitly constrticted. It is proved that the basis thus obtained consists of m-harmonic polynomials. Hence this generalizes earlier results of Veselov and the author for systems of constant multiplicity.

引用

页码：723 / 737

页数：15

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