Meng Ji, Zhu Lin Sheng
Abstract
In this paper, we will discuss the properties of solvable complete Lie algebra, describe the structures of the root spaces of solvable complete Lie algebra, prove that solvable Lie algebras of maximal rank are com-plete, and construct some new complete Lie algebras from Kac-Moody algebras.
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In this paper, we will discuss the properties of solvable complete Lie algebra, describe the structures of the root spaces of solvable complete Lie algebra, prove that solvable Lie algebras of maximal rank are com-plete, and construct some new complete Lie algebras from Kac-Moody algebras.
Key concepts: Mathematics, Lie conformal algebra, Pure mathematics, Lie algebra, Algebra over a field, Generalized Kac–Moody algebra, Rank (graph theory), Simple Lie group