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ON SOLVABLE COMPLETE LIE SUPERALGEBRAS 被引量:2

ON SOLVABLE COMPLETE LIE SUPERALGEBRAS
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摘要 The authors discuss the properties of solvable complete Lie superalgebra, proving that solvable Lie superalgebras of maximal rank are complete.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2003年第1期111-114,共4页 数学年刊(B辑英文版)
基金 Project supported by the National Natural Science Fundation of China (No.102710176).
关键词 Lie superalgebra Complete Lie superalgebra Root space decomposition Solvable Lie superalgebra Nilpotent Lie superalgebra 可解Lie超代数 完全性 根空间分解 幂零代数
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  • 1Meng, D. J., Some results on complete Lie algebras [J], Communications in Algebra, 22(1994), 5457-5507.
  • 2Meng, D. J., Complete Lie algebras and Heisenberg algebras [J], Communications in Algebra, 22(1994),5509-5524.
  • 3Meng, D. J. & Zhu, L. S., Solvable complete Lie algebras I [J], Communications in Algebras, 24(1996),4181-4197.
  • 4Santharoubane, L. J., Kac-Moody Lie algebras and the classification of nilpotent Lie algebras of maximal rank [J], Can. J. Math., 34(1982), 1215-1239.
  • 5Humphreys, J. E., Introduction to Lie algebras and representation theory [M], Berlin-Heidelberg-New York, Springer, 1972.

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