TY - JOUR T1 - Two-Parameter Quantum Group Coming from Two-Parameter Deformed Virasoro Algebra of Hom-Type AU - Zhou , Wen AU - Cheng , Yongsheng JO - Journal of Mathematical Study VL - 4 SP - 425 EP - 436 PY - 2024 DA - 2024/12 SN - 57 DO - http://doi.org/10.4208/jms.v57n4.24.01 UR - https://global-sci.org/intro/article_detail/jms/23709.html KW - Hom-Lie algebra, bosonic oscillator, the two-parameter deformed Virasoro algebra, Hopf algebra. AB -
In this paper, firstly, we use the bosonic oscillators to construct a two-parameter deformed Virasoro algebra, which is a non-multiplicative Hom-Lie algebra. Secondly, a non-trivial Hopf structure related to the two-parameter deformed Virasoro algebra is presented, that is, we construct a new two-parameter quantum group.