Geodesic
Three-particle Calogero model: Supertraces and ideals on the observables algebra
Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 1, pp. 122-133 
S. E. Konstein. Three-particle Calogero model: Supertraces and ideals on the observables algebra. Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 1, pp. 122-133. http://geodesic.mathdoc.fr/item/TMF_1998_116_1_a4/
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     title = {Three-particle {Calogero} model: {Supertraces} and ideals on the observables algebra},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1998_116_1_a4/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The associative observables superalgebra of the three-particle Calogero model giving all its wave functions via the standard Fock procedure has two independent supertraces. When the coupling constant $\nu$ is $n\pm1/3$ or $n+1/2$, the existence of two independent supertraces leads to the existence of a nontrivial two-sided ideal in the observables superalgebra for any integer $n$.

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