Introduction to Lie Algebras and Representation Theory
《Introduction to Lie Algebras and Representation Theory》 · 第 4 页 · Section 1.4「Abstract Lie algebras」
If $L$ is any Lie algebra, with basis $x_1,\ldots,x_n$, it is clear that the entire multiplication table of $L$ can be recovered from the structure constants $a_{ij}^k$ which occur in the expressions $[x_i x_j]=\sum_{k=1}^n a_{ij}^k x_k$.