Quasiinvariants of Coxeter groups and m-harmonic polynomials

Details Quasiinvariants of Coxeter groups and m-harmonic polynomials Quasiinvariants of Coxeter groups and m-harmonic polynomials

2001-05-11

arxiv.org/abs/math-ph/0105014v1

Physics

Mathematical Physics

23 pages

Scientific paper

The space of m-harmonic polynomials related to a Coxeter group G and a multiplicity function m on its root system is defined as the joint kernel of the properly gauged invariant integrals of the corresponding generalised quantum Calogero-Moser problem. The relation between this space and the ring of all quantum integrals of this system (which is isomorphic to the ring of corresponding quasiinvariants) is investigated.

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