Quantization of Schr?dinger-Virasoro Lie algebra

doi:10.1007/s11464-010-0072-y

Front Math Chin

2010, Vol. 5

Issue (4) : 701-715 https://doi.org/10.1007/s11464-010-0072-y

RESEARCH ARTICLE

Quantization of Schr?dinger-Virasoro Lie algebra

Yucai SU, Lamei YUAN(

)

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

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Abstract

In this paper, we use the general quantization method by Drinfel’d twists to quantize the Schr?dinger-Virasoro Lie algebra whose Lie bialgebra structures were recently discovered by Han-Li-Su. We give two different kinds of Drinfel’d twists, which are then used to construct the corresponding Hopf algebraic structures. Our results extend the class of examples of noncommutative and noncocommutative Hopf algebras.

Keywords Lie bialgebra quantization Schr?dinger-Virasoro Lie algebra

Corresponding Author(s): YUAN Lamei,Email:lmyuan@mail.ustc.edu.cn

Issue Date: 05 December 2010

Cite this article:

Yucai SU,Lamei YUAN. Quantization of Schr?dinger-Virasoro Lie algebra[J]. Front Math Chin, 2010, 5(4): 701-715.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-010-0072-y
https://academic.hep.com.cn/fmc/EN/Y2010/V5/I4/701

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