| 洪燕勇,李 方.秩为 2 的 Virasoro-型李共形代数[J].数学年刊A辑,2018,39(1):15~32 |
| 秩为 2 的 Virasoro-型李共形代数 |
| Virasoro-Type Lie Conformal Algebras of Rank 2 |
| Received:October 07, 2015 Revised:February 17, 2017 |
| DOI：10.16205/j.cnki.cama.2018.0003 |
| 中文关键词: 李共形代数, 共形导子, 中心扩张, 共形模 |
| 英文关键词:Lie conformal algebra, Conformal derivation, Central extension, Conformal module |
| 基金项目:本文受到国家自然科学基金 (No.11501515, No.11671350, No.11571173),
浙江省自然科学基金(No.LQ16A010011)和浙江农林大学人才启动基金(No.2013FR081) 的资助. |
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| 中文摘要: |
| 作者对秩为2的无挠的李共形代数进行了刻画. 在这些代数中,
作者主要关注Virasoro{-}型李共形代数. 并且,
作者描述了一种特殊Virasoro{-}型李共形代数的共形导子、
秩为1的自由共形模和中心扩张. |
| 英文摘要: |
| In this paper, the torsion-free Lie conformal algebras of rank 2 are characterized.
In these algebras, the authors pay more attention to the Virasoro-type Lie conformal algebras.
Moreover, conformal derivations, free conformal modules of rank one and central extensions of
a special Lie conformal algebra of Virasoro-type are determined. |
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