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

Abstract

The superalgebra of observables of the rational Calogero model based on the root system R is the associative superalgebra generated by polynomials in N indeterminates, the differential-difference Dunkl's operators and the group algebra of the Coxeter group G generated by the root system R. It is shown that this superalgebra possesses Q_R supertraces, where Q_R is the number of conjugacy classes of the Coxeter group G which have no eigenvalue equal to -1.

8 pages, LATEX, misprints are corrected on p.2 and p.8

References in corpus (1)

• Rational Calogero models based on rank-2 root systems: supertraces on the superalgebras of observables

Cited by in corpus (5)

• Klein operator and the Numbers of independent Traces and Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System
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• Traces on the Algebra of Observables of Rational Calogero Model based on the Root System
• The Number of Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System
• Shapovalov determinant for loop superalgebras