Geodesic
Supertraces on the algebras of observables of the rational Calogero models related to the classical root systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 2, pp. 252-262 Cet article a éte moissonné depuis la source Math-Net.Ru

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We find a complete set of supertraces on the algebra $H_{W(\mathbf R)}(\nu)$, the algebra of observables of the rational Calogero model with harmonic interaction based on the classical root systems $\mathbf R$ of $B_N$, $C_N$, and $D_N$ types. These results extend the results known for the case $A_{N-1}$. It is shown that $H_{W(\mathbf R)}(\nu)$ admits $q(\mathbf R)$ independent supertraces where $q(B_N)=q(C_N)$ is a number of partitions of $N$ into a sum of positive integers and $q(D_N)$ is a number of partitions of $N$ into a sum of positive integers with even number of even integers. 
@article{TMF_1997_111_2_a6,
     author = {S. E. Konstein},
     title = {Supertraces on the algebras of observables of the rational {Calogero} models related to the classical root systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {252--262},
     year = {1997},
     volume = {111},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_111_2_a6/}
}
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S. E. Konstein. Supertraces on the algebras of observables of the rational Calogero models related to the classical root systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 2, pp. 252-262. http://geodesic.mathdoc.fr/item/TMF_1997_111_2_a6/

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