Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System
S. E. Konstein
Abstract
The superalgebra of observables of the rational Calogero model based on the root system R is the associative superalgebra generated by polynomials in N indeterminates, the differential-difference Dunkl's operators and the group algebra of the Coxeter group G generated by the root system R. It is shown that this superalgebra possesses QR supertraces, where QR is the number of conjugacy classes of the Coxeter group G which have no eigenvalue equal to -1.
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