Two-Parameter Quantum Group Coming from Two-Parameter Deformed Virasoro Algebra of Hom-Type
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@Article{JMS-57-425,
author = {Zhou , Wen and Cheng , Yongsheng},
title = {Two-Parameter Quantum Group Coming from Two-Parameter Deformed Virasoro Algebra of Hom-Type},
journal = {Journal of Mathematical Study},
year = {2024},
volume = {57},
number = {4},
pages = {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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v57n4.24.01}, url = {http://global-sci.org/intro/article_detail/jms/23709.html} }
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.
Zhou , Wen and Cheng , Yongsheng. (2024). Two-Parameter Quantum Group Coming from Two-Parameter Deformed Virasoro Algebra of Hom-Type.
Journal of Mathematical Study. 57 (4).
425-436.
doi:10.4208/jms.v57n4.24.01
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