query: A detail about Lie algebra?
positive_passages.docid: 157779
positive_passages.text: What does the Jacobi identity impose on structure constants?
negative_passages.docid: 123595
negative_passages.text: Representations of Direct Sum of Lie Algebras
negative_passages.docid: 70533
negative_passages.text: In what sense can the Lie algebra of $GL_n(\mathbb{C})$ be "identified" with $M_n(\mathbb C)$?
negative_passages.docid: 44629
negative_passages.text: Why Lie algebras of type $B_2$ and $C_2$ are isomorphic?
negative_passages.docid: 126295
negative_passages.text: What is an $R$-algebra?
negative_passages.docid: 35248
negative_passages.text: Getting started with Lie Groups
negative_passages.docid: 117737
negative_passages.text: Why is $\mathfrak{sl}(n)$ the algebra of traceless matrices?
negative_passages.docid: 9457
negative_passages.text: Compact Lie group bi-invariant metric
negative_passages.docid: 96380
negative_passages.text: Representation of $\text{sl}(2,\mathbb{C})$
negative_passages.docid: 153707
negative_passages.text: Is the Lie bracket of two vector fields well defined?
negative_passages.docid: 101229
negative_passages.text: Lie algebra of $\left(\begin{smallmatrix}a & b\\ & a^2\end{smallmatrix}\right )$ in $GL_2(\mathbb{R})$
negative_passages.docid: 115182
negative_passages.text: Centre of symmetric group algebra
negative_passages.docid: 128937
negative_passages.text: Lie theory and particle physics
negative_passages.docid: 127304
negative_passages.text: Understanding the algebra of polynomials on a linear space
negative_passages.docid: 15686
negative_passages.text: Product of a Lie ideal with a subalgebra
negative_passages.docid: 43303
negative_passages.text: Which Lie groups have Lie algebras admitting an Ad-invariant inner product?
negative_passages.docid: 146690
negative_passages.text: Basis for adjoint representation of $sl(2,F)$