一类Schrödinger-Virasoro型李代数的量子化

王伟, 许莹

数学学报 ›› 2012, Vol. 55 ›› Issue (4) : 707-714.

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数学学报 ›› 2012, Vol. 55 ›› Issue (4) : 707-714. DOI: 10.12386/A2012sxxb0067
论文

一类Schrödinger-Virasoro型李代数的量子化

    王伟1, 许莹2
作者信息 +

Quantization of a Schrödinger-Virasoro Type Lie Algebra

    Wei WANG1, Ying XU2
Author information +
文章历史 +

摘要

李双代数的量子化是获取新的量子群的重要方法.本文通过Drinfel’d扭元,对一类Schrödinger-Virasoro型李代数进行了量子化,得到了一类既非交换又非余交换的Hopf代数.

Abstract

The construction of quantizations of Lie bialgebra is an important method to produce new quantum group. In this paper, we quantize a Schrödinger-Virasoro type Lie algebra by a Drinfel’d twist element and obtain a noncommutative and noncocommutative Hopf algebra.

关键词

Schrö / dinger-Virasoro李代数 / 量子化 / 李双代数

Key words

Schrö / dinger-Virasoro Lie algebra / quantization / Lie bialgebra

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王伟, 许莹. 一类Schrödinger-Virasoro型李代数的量子化. 数学学报, 2012, 55(4): 707-714 https://doi.org/10.12386/A2012sxxb0067
Wei WANG, Ying XU. Quantization of a Schrödinger-Virasoro Type Lie Algebra. Acta Mathematica Sinica, Chinese Series, 2012, 55(4): 707-714 https://doi.org/10.12386/A2012sxxb0067

参考文献

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基金

国家自然科学基金(10825101, 11161010, 61063003);宁夏大学科学研究基金(ZR1102, ZR1121)
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