Representations of the BMS-Kac-Moody algebra
Representations of the BMS-Kac-Moody algebra
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DOI：
10.1016/j.geomphys.2023.104915
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发表时间：
2023-09
影响因子：
1.5
通讯作者：
Jinlu Li;Jiancai Sun
中科院分区：
文献类型：
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作者：
Jinlu Li;Jiancai Sun
研究了具有两个u（1）Kac-Moody流的无中心扩张的BMS-Kac-Moody代数L.我们给出了L的最高权模和Whittaker模的简单限制模的构造。更确切地说，我们建立了单限制L-模和一族有限维可解李代数的单模之间的1-1对应。此外，我们给出了L上单限制模的几个等价刻画。
We investigate the BMS-Kac-Moody algebra L with two u (1) Kac-Moody currents without central extensions. We give a construction of simple restricted modules generalizing both highest weight modules and Whittaker modules for L. More precisely, we establish a 1-1 correspondence between simple restricted L-modules and simple modules of a family of finite-dimensional solvable Lie algebras associated to L. Also, we present several equivalent descriptions for simple restricted modules over L.