paper

Quasi-invariants of dihedral systems

arXiv:math-ph/0311041

Abstract

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 -harmonic polynomials, thus the earlier results of Veselov and the author for the case of constant multiplicity are generalized.

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