9904032 (S. E. Konstein)

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

S. E. Konstein

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.

View original: http://arxiv.org/abs/9904032