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

1999/04/28 by S. E. Konstein, Konstein, S. E. · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/9904032

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

openalex publication_date 1999/04/28 · arxiv created 2012/11/28 · arxiv updated 2012/11/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

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

Cited by

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

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