Two-Parameter Quantum Group Coming from Two-Parameter Deformed Virasoro Algebra of Hom-Type
Wen Zhou , Yongsheng Cheng
Journal of Mathematical Study ›› 2024, Vol. 57 ›› Issue (4) : 425 -436.
In this paper, firstly, we use the bosonic oscillators to construct a two-para-meter deformed Virasoro algebra, which is a non-multiplicative Hom-Lie algebra. Sec-ondly, 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.
Hom-Lie algebra / bosonic oscillator / the two-parameter deformed Virasoro algebra / Hopf algebra
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