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A Class of Non-degenerate Solvable Lie Algebras and Their Derivations 被引量:1

A Class of Non-degenerate Solvable Lie Algebras and Their Derivations
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摘要 The author constructs a class of indecomposable non-degenerate solvable Lie Algebras corresponding to a Cartan matrix A over the field of complex numbers and we determine all their derivations. The author constructs a class of indecomposable non-degenerate solvable Lie Algebras corresponding to a Cartan matrix A over the field of complex numbers and we determine all their derivations.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第1期7-16,共10页 数学学报(英文版)
基金 China NSF Grant 10271081
关键词 non-degenerate SOLVABLE DERIVATION finite-dimensional simple Lie algebra non-degenerate, solvable, derivation, finite-dimensional simple Lie algebra
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参考文献4

  • 1Lu, C. H.: The solvable Lie algebras with a symmetric invariant non-degenerate bilinear form. Acta Mathematica Sinica, Chinese Series, 35(1), 121-132 (1992) 被引量:1
  • 2Lu, C. H., Li, X.: The structure of 3-solvable non-degenerate Lie algebras and its derivation Lie algebras. Acta Mathematica Sinica, Chinese Series, 49(2), 271-282 (2006) 被引量:1
  • 3Kac, V. G.: Infinite dimensional Lie Algebras, Birkhauser, Boston, 1983 被引量:1
  • 4Jacobson, N.: Lie algebras, Interscience, New York-London, 1962 被引量:1

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