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Quasi-invariants of dihedral systems

M. Feigin

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

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