Quasi-invariants of Coxeter groups and m-harmonic polynomials
preprintposted on 2006-01-31, 17:54 authored by Mikhail V. Feigin, Alexander VeselovAlexander Veselov
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.
- Mathematical Sciences
NotesThis pre-print appeared in the journal, International Mathematics Research Notices [© Hindawi Pub.]. The definitive version: FEIGIN, M. and VESELOV, A.P., 2002. Quasi-invariants of Coxeter groups and m-harmonic polynomials, (10): 521-545.