基于根系的有理Calogero模型观测量超代数上的超迹
Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System
摘要：
基于根系R的有理Calogero模型的观测量的超代数是由N个待定项中的多项式、微分-差分Dunkl算子和根系R生成的Coxeter群G的群代数生成的结合超代数。证明了该超代数具有QR超迹，其中QR是Coxeter群G的共轭类中特征值不等于-1的类的个数.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
