一类广义Heisenberg-Virasoro代数的导子

范广哲, 周辰红, 岳晓青

数学学报 ›› 2016, Vol. 59 ›› Issue (3) : 289-294.

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PDF(395 KB)
数学学报 ›› 2016, Vol. 59 ›› Issue (3) : 289-294. DOI: 10.12386/A2016sxxb0026
论文

一类广义Heisenberg-Virasoro代数的导子

    范广哲, 周辰红, 岳晓青
作者信息 +

Derivations of a Class of Generalized Heisenberg-Virasoro Algebras

    Guang Zhe FAN, Chen Hong ZHOU, Xiao Qing YUE
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文章历史 +

摘要

主要研究了一类非有限分次的广义Heisenberg-Virasoro代数HV,并给出了HV导子的具体结构.为了计算HV的导子DerHV,可以把它分解成内导子adHV和阶为零次的导子(DerHV)0之和.

Abstract

We study a class of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras HV,and we determine the concrete structures of the derivations of HV.To compute the derivations Der HV of HV,we can decompose them into a sum of the inner derivations ad HV and the derivations (Der HV)0 whose degree is zero.

关键词

非有限分次李代数 / 广义Heisenberg-Virasoro代数 / 导子

Key words

not-finitely graded Lie algebras / generalized Heisenberg-Virasoro algebras / derivations

引用本文

导出引用
范广哲, 周辰红, 岳晓青. 一类广义Heisenberg-Virasoro代数的导子. 数学学报, 2016, 59(3): 289-294 https://doi.org/10.12386/A2016sxxb0026
Guang Zhe FAN, Chen Hong ZHOU, Xiao Qing YUE. Derivations of a Class of Generalized Heisenberg-Virasoro Algebras. Acta Mathematica Sinica, Chinese Series, 2016, 59(3): 289-294 https://doi.org/10.12386/A2016sxxb0026

参考文献

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[2] Billig Y., Representations of the twisted Heisenberg-Virasoro algebra at level zero theory, Canad. Math. Bull., 2003, 46:529-537.
[3] Chen Q., Han J., Su Y., Structures of not-finitely graded Lie algebras related to generalized Virasoro algebras, Comm. Algebra, 2015, 43:3033-3049.
[4] Farnsteiner R., Derivations and central extensions of finitely generated graded Lie algebras, J. Algebra, 1988, 118:33-45.
[5] Liu D., Zhu L., Generalized Heisenberg-Virasoro algebras, Front. Math. China, 2009, 4:297-310.
[6] Shen R., Jiang C., The derivation algebra and automorphism group of the twisted Heisenberg-Virasoro algebra, Comm. Algebra, 2006, 34:2547-2558.

基金

国家自然科学基金资助项目 (11431010, 11371278, 11271284); 上海市科委课题资助(12XD1405000)

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