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TMF, 1997, Volume 111, Number 2, Pages 252–262 (Mi tmf1005)  

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.

DOI: https://doi.org/10.4213/tmf1005

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English version:
Theoretical and Mathematical Physics, 1997, 111:2, 592–600

Bibliographic databases:

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

Citation in format AMSBIB
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\by S.~E.~Konstein
\paper Supertraces on the algebras of observables of the rational Calogero models related to the classical root systems
\jour TMF
\yr 1997
\vol 111
\issue 2
\pages 252--262
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\crossref{https://doi.org/10.4213/tmf1005}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1478895}
\zmath{https://zbmath.org/?q=an:0978.81523}
\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 111
\issue 2
\pages 592--600
\crossref{https://doi.org/10.1007/BF02634270}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1997YA85100007}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Konstein S.E., Stekolshchik R., “Klein Operator and the Number of Independent Traces and Supertraces on the Superalgebra of Observables of Rational Calogero Model Based on the Root System”, J. Nonlinear Math. Phys., 20:2 (2013), 295–308  crossref  mathscinet  isi  elib  scopus  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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