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arXiv math-ph/0105014math-phmath.MP
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Coxeter群的拟不变量与m-调和多项式

Quasiinvariants of Coxeter groups and m-harmonic polynomials

M. Feigin, A. P. Veselov

摘要:

与Coxeter群G和其根系上的重数函数m相关的m-调和多项式空间被定义为相应的广义量子Calogero-Moser问题的适当规范不变积分的联合核。研究了这个空间与这个系统的所有量子积分环(同构于相应的拟不变量环)之间的关系。

英文摘要:

The space of m-harmonic polynomials related to a Coxeter group G and a multiplicity function m on its root system is defined as the joint kernel of the properly gauged invariant integrals of the corresponding generalised quantum Calogero-Moser problem. The relation between this space and the ring of all quantum integrals of this system (which is isomorphic to the ring of corresponding quasiinvariants) is investigated.

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。

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