Representations and Nilpotent Orbits of Lie Algebraic Systems - In Honour of the 75th Birthday of Tony Joseph

Representations and Nilpotent Orbits of Lie Algebraic Systems - In Honour of the 75th Birthday of Tony Joseph
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李代数系统的表示和幂零轨道 - 纪念托尼·约瑟夫 75 岁生日

DOI:
10.1007/978-3-030-23531-4_11
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发表时间:
2019
期刊:
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通讯作者:
Nazarov M
Nazarov M
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文献类型:
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作者:
Nazarov M

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对于N = 1,2,.,我们考虑系数为的单变量多项式空间的YangianonN次对称幂的作用。这个作用量由赫克曼算子(1991)通过德林费尔德函子(1986)给出。我们在N →∞处描述了这种作用的极限。这为Khoroshkin,Matushko和Sklyanin(2017)已经考虑的问题提供了另一种解决方案。
ForN= 1, 2, … we consider an action of the YangianonNth symmetric power of the space of polynomials in one variable with coefficients in. This action is given by the Heckman operators (1991) via the Drinfeld functor (1986). We describe the limit of this action atN→∞. This provides another solution to the problem already considered by Khoroshkin, Matushko and Sklyanin (2017).