Quasi-invariants of dihedral systems

Details Quasi-invariants of dihedral systems Quasi-invariants of dihedral systems

2003-11-24

arxiv.org/abs/math-ph/0311041v2

Physics

Mathematical Physics

22 pages; a minor correction done; accepted by Mathematical Notes

Scientific paper

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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