AI 中文总结
本文构造BMS-Kac-Moody代数上的新型非权不可约模，给出其不可约及同构的充要条件，经对比证实该类模为新的不可约模。
AI 中文摘要
本文通过将有限多个不可约模$\boldsymbol{\u03a6(\u03bb,\u03b1,\u03b2,\u03c1,h(t))}$与不可约限制模作张量积，构造了BMS-Kac-Moody代数上的一类非权模。我们得到这些张量积模不可约的充要条件，确定了两个此类模同构的对应条件，还将它们与其他已知非权模对比，表明这些不可约模是新的。
英文摘要
In this paper, we construct a class of non-weight modules over the BMS-Kac-Moody algebra by taking tensor products of finitely many irreducible modules $Φ(λ,\a,\b,\r,h(t))$ with irreducible restricted modules. We obtain the necessary and sufficient conditions for these tensor product modules to be irreducible, and determine the corresponding conditions for two such modules to be isomorphic. Moreover, we compare these modules with other known non-weight modules, showing that these irreducible modules are new.
Comments16 pages
