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.
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页码：723 / 737
页数：15
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