Quantum N-toroidal Algebras and Extended Quantized GIMAlgebras of N-fold Affinization
Quantum N-toroidal Algebras and Extended Quantized GIMAlgebras of N-fold Affinization
复制标题
量子 N 环形代数和 N 重阿芬化的扩展量化 GIM 代数
DOI：
10.1007/s40304-022-00316-4
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发表时间：
2023
影响因子：
0.9
通讯作者：
Honglian Zhang
中科院分区：
文献类型：
--
作者：
Yun Gao;Naihuan Jing;Limeng Xia;Honglian Zhang
我们引入量子N-环面代数的概念，作为量子环面代数的自然推广，并推广了N-重仿射的量子GIM代数。证明了量子N-toroidal代数是N重仿射的广义量子GIM代数的子代数，推广了Berman和Moody关于李代数的一个著名结果.
We introduce the notion of quantumN-toroidal algebras as natural generalization of the quantum toroidal algebras as well as extended quantized GIM algebras ofN-fold affinization. We show that the quantumN-toroidal algebras are quotients of the extended quantized GIM algebras ofN-fold affinization, which generalizes a well-known result of Berman and Moody for Lie algebras.