一类幂零李代数的可解扩张
All the Solvable Extensions of a Class of Nilpotent Lie Algebras
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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.