A class of solvable Lie algebras with a given nilradical
Yuwang Hu
Abstract
Yuwang Hu
Abstract
Any solvable Lie algebra S has a unique nilradical N.Assume N is a given nilpotent Lie algebra,dim N=6.All indecomposable solvable Lie algebras with N as their nilradical were obtained.Their dimension is at most 8.
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Any solvable Lie algebra S has a unique nilradical N.Assume N is a given nilpotent Lie algebra,dim N=6.All indecomposable solvable Lie algebras with N as their nilradical were obtained.Their dimension is at most 8.
Key concepts: Mathematics, Pure mathematics, Lie conformal algebra, Lie algebra, Adjoint representation of a Lie algebra, Indecomposable module, Simple Lie group, Class (philosophy)