Loop Schrödinger-Virasoro Lie conformal algebra

Chen, Haibo; Han, Jianzhi; Su, Yucai; Xu, Ying

doi:10.48550/arxiv.1512.06978

2015

DOI: 10.48550/arxiv.1512.06978

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Loop Schrödinger-Virasoro Lie conformal algebra

Haibo Chen¹,

Jianzhi Han²,

Yucai Su³

et al.

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Cited by 3 publications

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Central extensions and conformal derivations of a class of Lie conformal algebras

Hong

2015

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A quadratic Lie conformal algebra corresponds to a Hamiltonian pair in [11], which plays fundamental roles in completely integrable systems. Moreover, it also corresponds to certain compatible pairs of a Lie algebra and a Novikov algebra which is called Gel'fand-Dorfman bialgebra by Xu in [22].In this paper, central extensions and conformal derivations of quadratic Lie conformal algebras are studied in terms of Gel'fand-Dorfman bialgebras. It is shown that central extensions and conformal derivations of a quadratic Lie conformal algebra are related with some bilinear forms and some operators of the corresponding Gel'fand-Dorfman bialgebra respectively.

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Central extensions and conformal derivations of a class of Lie conformal algebras

Hong

2015

Preprint

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Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type

Xia

Yuan

2017

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Extensions of finite irreducible modules of Lie conformal algebras $\mathcal{W}(a,b)$ and some Schrödinger-Virasoro type Lie conformal algebras

Luo¹,

Hong²,

Wu³

2019

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Loop Schrödinger-Virasoro Lie conformal algebra

Cited by 3 publications

References 9 publications

Central extensions and conformal derivations of a class of Lie conformal algebras

Central extensions and conformal derivations of a class of Lie conformal algebras

Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type

Extensions of finite irreducible modules of Lie conformal algebras $\mathcal{W}(a,b)$ and some Schrödinger-Virasoro type Lie conformal algebras

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