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

2008/11/16 by S. E. Konstein, Konstein, S. E., Rafael Stekolshchik +2
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0811.2487

7 pages, LaTex, misprints corrected on p.2

openalex publication_date 2008/11/16 · arxiv created 2012/11/28 · arxiv updated 2012/11/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In the Coxeter group W(R) generated by the root system R, let Q(R) be the number of conjugacy classes having no eigenvalue -1. The superalgebra of observables of the rational Calogero model based on the root system R possesses Q(R) supertraces. The numbers Q(R) are determined for all irreducible root systems (hence for all root systems).

Citations

• Rational Calogero models based on rank-2 root systems: supertraces on the superalgebras of observables
• Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System

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