Let (V, 0) be an isolated hypersurface singularity. We introduce a series of new derivation Lie algebras \(L_{k}(V)\) associated to (V, 0). Its dimension is denoted as \(\lambda _{k}(V)\). The \(L_{k}(V)\) is a generalization of the Yau algebra L(V) and \(L_{0}(V)=L(V)\). These numbers \(\lambda _{k}(V)\) are new numerical analytic invariants of an isolated hypersurface singularity. In this article we compute \(L_1(V)\) for fewnomial isolated singularities (Binomial, Trinomial) and obtain the formulas of \(\lambda _{1}(V)\). We also formulate a sharp upper estimate conjecture for the \(L_k(V)\) of weighted homogeneous isolated hypersurface singularities and we prove this conjecture for large class of singularities. Furthermore, we formulate another inequality conjecture and prove it for binomial and trinomial singularities.

令（V，0）为孤立的超曲面奇点。我们介绍了与（V，0）相关的一系列新的导出李代数\（L_ {k}（V）\）。其尺寸表示为\（\ lambda _ {k}（V）\）。的\（L_ {K}（V）\）是攸代数的概括大号（V）和\（L_ {0}（V）= L（V）\） 。这些数字\（\ lambda _ {k}（V）\）是孤立的超曲面奇点的新数值解析不变量。在本文中，我们为极少数孤立奇异点（二项式，三项式）计算\（L_1（V）\）并获得\（\ lambda _ {1}（V）\）的公式。我们还为加权均匀孤立超曲面奇异点的\（L_k（V）\）制定了一个尖锐的上估计猜想，并针对大类奇点证明了这一猜想。此外，我们提出了另一个不等式猜想，并证明了它的二项式和三项式奇异性。