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arXiv · 0811.2487

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

S. E. Konstein·R. Stekolshchik
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Abstract

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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S. E. Konstein, R. Stekolshchik. 2012-11-28. The Number of Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System. https://arxiv.org/abs/0811.2487

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