Quasiinvariants of Coxeter groups and m-harmonic polynomials
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0105014,
title = {Quasiinvariants of Coxeter groups and m-harmonic polynomials},
author = {M. Feigin and A. P. Veselov},
journal= {arXiv preprint arXiv:math-ph/0105014},
year = {2007}
}
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23 pages