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Download fileQuasi-invariants of Coxeter groups and m-harmonic polynomials
preprint
posted on 2006-01-31, 17:54 authored by Mikhail V. Feigin, Alexander VeselovAlexander VeselovThe 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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