准多项式对上的动态贝特代数与函数

IF 1.4 4区数学 Q1 MATHEMATICS

Russian Mathematical Surveys Pub Date : 2021-01-01 DOI:10.1070/RM10010

A. Varchenko, A. Slinkin, D. Thompson

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引用次数: 0

摘要

我们考虑了在不可约有限维模的张量积的零权子空间中具有值的Cartan子代数上的函数空间。我们考虑由Rubtsov, Silantyev和Talalaev在2009年构造的交换微分算子的代数。我们描述了on的作用与拟多项式对空间的关系。参考书目:25篇。

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Dynamical Bethe algebra and functions on pairs of quasi-polynomials

We consider the space of functions on the Cartan subalgebra of with values in the zero weight subspace of a tensor product of irreducible finite-dimensional -modules. We consider the algebra of commuting differential operators on , constructed by Rubtsov, Silantyev, and Talalaev in 2009. We describe the relations between the action of on and spaces of pairs of quasi- polynomials. Bibliography: 25 titles.

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来源期刊

Russian Mathematical Surveys 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Mathematical Surveys is a high-prestige journal covering a wide area of mathematics. The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The survey articles on current trends in mathematics are generally written by leading experts in the field at the request of the Editorial Board.