Sunday, December 2, 2012

9904032 (S. E. Konstein)

Supertraces on the Superalgebra of Observables of Rational Calogero
Model based on the Root System
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S. E. Konstein
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.
View original: http://arxiv.org/abs/9904032

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