Higher level Fock spaces and affine Yangian
Higher level Fock spaces and affine Yangian
复制标题
更高层次的福克空间和仿射Yangian
DOI：
10.1007/s00031-018-9491-8
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发表时间：
2018
影响因子：
0.7
通讯作者：
Ryosuke Kodera
中科院分区：
文献类型：
--
作者：
Yuji Odaka;Yoshiki Oshima;Ryosuke Kodera;Tanaka Hiromu;Kenji Sakugawa;Ryosuke Kodera
通过推广已知的有限型A的仿射Yangian的Uglov作用，构造了高阶Fock空间上A型仿射Yangian的作用。这是Takemura-Uglov在高水平变形Fock空间上构造量子环面代数作用的结果的退化模拟。
We construct actions of the affine Yangian of type A on higher level Fock spaces by extending known actions of the Yangian of finite type A due to Uglov. This is a degenerate analog of a result by Takemura–Uglov, which constructed actions of the quantum toroidal algebra on higher levelq-deformed Fock spaces.