Leibniz central extensions on some infinite-dimensional Lie algebras

Dong Liu; Naihong Hu

doi:10.1081/AGB-120037228

Leibniz central extensions on some infinite-dimensional Lie algebras

Dong Liu
, Naihong Hu^*

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

13 引用（Scopus）

摘要

In this paper, all one-dimensional Leibniz central extensions on the algebras of differential operators over C[t, t^-1] and C((t)), as well as on the quantum 2-torus, the Virasoro-like algebra and its q-analog are studied. We determine all nontrivial Leibniz 2-cocycles on these infinite dimensional Lie algebras.

源语言	英语
页（从-至）	2385-2405
页数	21
期刊	Communications in Algebra
卷	32
期	6
DOI	https://doi.org/10.1081/AGB-120037228
出版状态	已出版 - 2004

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10.1081/AGB-120037228

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引用此

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AB - In this paper, all one-dimensional Leibniz central extensions on the algebras of differential operators over C[t, t-1] and C((t)), as well as on the quantum 2-torus, the Virasoro-like algebra and its q-analog are studied. We determine all nontrivial Leibniz 2-cocycles on these infinite dimensional Lie algebras.

KW - Differential operators algebra

KW - Leibniz 2-cocycle

KW - Q-Analog

KW - Quantum 2-torus

KW - Virasoro-like algebra

KW - Witt algebra

UR - https://www.scopus.com/pages/publications/10144247019

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DO - 10.1081/AGB-120037228

M3 - 文章

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SN - 0092-7872

VL - 32

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JO - Communications in Algebra

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Leibniz central extensions on some infinite-dimensional Lie algebras

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