Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System

Details Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System

1999-04-28

arxiv.org/abs/math-ph/9904032v1

Physics

Mathematical Physics

8 pages, LATEX

Scientific paper

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 Q_R supertraces, where Q_R is the number of conjugacy classes of the Coxeter group G which have no eigenvalue equal to -1.

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