二面体系的拟不变量
Quasi-invariants of dihedral systems
摘要:
对于具有任意重数的二维Coxeter系统,明确地构造了不变量上的拟不变模基。证明了该基由$m$ -调和多项式构成,从而推广了Veselov和作者关于常重数情形的早期结果.
英文摘要:
A basis of quasi-invariant module over invariants is explicitly constructed for the two-dimensional Coxeter systems with arbitrary multiplicities. It is proved that this basis consists of $m$-harmonic polynomials, thus the earlier results of Veselov and the author for the case of constant multiplicity are generalized.
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