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一类广义Heisenberg-Virasoro代数的导子

Derivations of a Class of Generalized Heisenberg-Virasoro Algebras
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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Der HV,可以把它分解成内导子adHV和阶为零次的导子(Der HV)_0之和. 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)o whose degree is zero.
机构地区 同济大学数学系
出处 《数学学报(中文版)》 CSCD 北大核心 2016年第3期289-294,共6页 Acta Mathematica Sinica:Chinese Series
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)
关键词 非有限分次李代数 广义Heisenberg-Virasoro代数 导子 not-finitely graded Lie algebras generalized Heisenberg-Virasoro alge-bras derivations
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参考文献6

  • 1Arbarello E., DeConcini C., Kac V. G., et al., Moduli spaces of curves and representation theory, Comm. Math. Phys., 1988, 117: 1-36.
  • 2Billig Y., Representations of the twisted Heisenberg-Virasoro algebra at level zero theory, Canad. Math. Bull., 2003, 46: 529-537.
  • 3Chen Q., Han J., Su Y., Structures of not-finitely graded Lie algebras related to generalized Virasoro algebras, Comm. Algebra, 2015, 43: 3033-3049.
  • 4Farnsteiner R., Derivations and central extensions of finitely generated graded Lie algebras, Y. Algebra, 1988, 118: 33-45.
  • 5Liu D., Zhu L., Generalized Heisenberg Virasoro algebras, Front. Math. China, 2009, 4:297- 310.
  • 6Shen R., Jiang C., The derivation algebra and automorphism group of the twisted Heisenberg-Virasoro algebra, Comm. Algebra, 2006, 34: 2547-2558.

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