0811.2487 (S. E. Konstein et al.)

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

S. E. Konstein, R. Stekolshchik

In the Coxeter group W(R) generated by the root system R, let Q(R) be the number of conjugacy classes having no eigenvalue -1. The superalgebra of observables of the rational Calogero model based on the root system R possesses Q(R) supertraces. The numbers Q(R) are determined for all irreducible root systems (hence for all root systems).

View original: http://arxiv.org/abs/0811.2487