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This article is cited in 1 scientific paper (total in 1 paper)
Supertraces on the algebras of observables of the rational Calogero models related to the classical root systems
S. E. Konstein P. N. Lebedev Physical Institute, Russian Academy of Sciences
Abstract:
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.
Received: 04.04.1996
Citation:
S. E. Konstein, “Supertraces on the algebras of observables of the rational Calogero models related to the classical root systems”, TMF, 111:2 (1997), 252–262; Theoret. and Math. Phys., 111:2 (1997), 592–600
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https://www.mathnet.ru/eng/tmf1005https://doi.org/10.4213/tmf1005 https://www.mathnet.ru/eng/tmf/v111/i2/p252
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Abstract page: | 308 | Full-text PDF : | 172 | References: | 31 | First page: | 1 |
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