Quasi-invariants of dihedral systems
Abstract
Description
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.
22 pages; a minor correction done; accepted by Mathematical Notes
22 pages; a minor correction done; accepted by Mathematical Notes