Comultiplication for shifted Yangians and quantum open Toda lattice

Comultiplication for shifted Yangians and quantum open Toda lattice
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移位 Yangians 和量子开放 Toda 晶格的共乘

DOI:
10.1016/j.aim.2017.06.018
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发表时间:
2016
期刊:
arXiv: Representation Theory
影响因子:
--
通讯作者:
Alex Weekes
Alex Weekes
中科院分区:
--
文献类型:
--
作者:
M. Finkelberg;J. Kamnitzer;Khoa Pham;L. Rybnikov;Alex Weekes

文献摘要

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利用sl 2的移动Yangian中的余积,研究了A型量子开户田格中的余积。在经典的水平,这对应于欧几里德SU(2)单极散射矩阵的乘法。我们还研究了任何简单花边李代数的移位杨格的余积。
We study a coproduct in type A quantum open Toda lattice in terms of a coproduct in the shifted Yangian of sl 2. At the classical level this corresponds to the multiplication of scattering matrices of euclidean S U (2) monopoles. We also study coproducts for shifted Yangians for any simply-laced Lie algebra.