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Two-Parameter Quantum Group Coming from Two-Parameter Deformed Virasoro Algebra of Hom-Type

Two-Parameter Quantum Group Coming from Two-Parameter Deformed Virasoro Algebra of Hom-Type

Year:    2024

Author:    Wen Zhou, Yongsheng Cheng

Journal of Mathematical Study, Vol. 57 (2024), Iss. 4 : pp. 425–436

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v57n4.24.01

Journal of Mathematical Study, Vol. 57 (2024), Iss. 4 : pp. 425–436

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Hom-Lie algebra bosonic oscillator the two-parameter deformed Virasoro algebra Hopf algebra.

Author Details

Wen Zhou

Yongsheng Cheng