Quantization of Schrödinger-Virasoro Lie algebra

Yucai Su; Lamei Yuan

doi:10.1007/s11464-010-0072-y

Quantization of Schrödinger-Virasoro Lie algebra

Yucai Su
, Lamei Yuan^*

^*Corresponding author for this work

University of Science and Technology of China

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this paper, we use the general quantization method by Drinfel'd twists to quantize the Schrödinger-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.

Original language	English
Pages (from-to)	701-715
Number of pages	15
Journal	Frontiers of Mathematics in China
Volume	5
Issue number	4
DOIs	https://doi.org/10.1007/s11464-010-0072-y
State	Published - 2010
Externally published	Yes

Keywords

Lie bialgebra
Schrödinger-Virasoro Lie algebra
quantization

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10.1007/s11464-010-0072-y

Cite this

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title = "Quantization of Schr{\"o}dinger-Virasoro Lie algebra",

abstract = "In this paper, we use the general quantization method by Drinfel'd twists to quantize the Schr{\"o}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.",

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AU - Su, Yucai

AU - Yuan, Lamei

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N2 - In this paper, we use the general quantization method by Drinfel'd twists to quantize the Schrödinger-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.

AB - In this paper, we use the general quantization method by Drinfel'd twists to quantize the Schrödinger-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.

KW - Lie bialgebra

KW - Schrödinger-Virasoro Lie algebra

KW - quantization

UR - https://www.scopus.com/pages/publications/77957759191

U2 - 10.1007/s11464-010-0072-y

DO - 10.1007/s11464-010-0072-y

M3 - 文章

AN - SCOPUS:77957759191

SN - 1673-3452

VL - 5

SP - 701

EP - 715

JO - Frontiers of Mathematics in China

JF - Frontiers of Mathematics in China

IS - 4

ER -

Quantization of Schrödinger-Virasoro Lie algebra

Abstract

Keywords

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