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

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

2008-11-16

arxiv.org/abs/0811.2487v1

Physics

Mathematical Physics

7 pages, LaTex

Scientific paper

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).

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