Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System
Mathematical Physics
2012-11-29 v2 math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/9904032,
title = {Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System},
author = {S. E. Konstein},
journal= {arXiv preprint arXiv:math-ph/9904032},
year = {2012}
}
Comments
8 pages, LATEX, misprints are corrected on p.2 and p.8