李小朝, 胡余旺. 一类幂零李代数的可解扩张[J]. 信阳师范学院学报(自然科学版), 2011, 24(4): 444-446.
引用本文: 李小朝, 胡余旺. 一类幂零李代数的可解扩张[J]. 信阳师范学院学报(自然科学版), 2011, 24(4): 444-446.
LI Xiao-chao, HU Yu-wang. All the Solvable Extensions of a Class of Nilpotent Lie Algebras[J]. Journal of Xinyang Normal University (Natural Science Edition), 2011, 24(4): 444-446.
Citation: LI Xiao-chao, HU Yu-wang. All the Solvable Extensions of a Class of Nilpotent Lie Algebras[J]. Journal of Xinyang Normal University (Natural Science Edition), 2011, 24(4): 444-446.

一类幂零李代数的可解扩张

All the Solvable Extensions of a Class of Nilpotent Lie Algebras

  • 摘要: 对于一个给定的幂零李代数N,确定了所有以N为幂零根基(极大幂零理想)的可解李代数S.可解李代数S的维数至多是dimN+2.

     

    Abstract: All the solvable Lie algebras S with nilpotent Lie algebra N as their nilradical are obtained.The results show that the dimensions of solvable Lie algebras are no more than dim N+2.

     

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