query: Classification of Lie algebras.
positive_passages.docid: 26958
positive_passages.text: Classification of 3-dimensional Lie Algebra
negative_passages.docid: 112216
negative_passages.text: Geometric description of canonical commutation relation
negative_passages.docid: 151251
negative_passages.text: A simple algebra that is not semisimple
negative_passages.docid: 58807
negative_passages.text: Solving the Lie algebra of generators: path from algebra to matrix representation
negative_passages.docid: 122353
negative_passages.text: Status of the classification of non-finitely generated abelian groups.
negative_passages.docid: 67842
negative_passages.text: Solvable equivalent to nilpotency of first derived Lie algebra?
negative_passages.docid: 131843
negative_passages.text: Cartan subalgebras of a semisimple Lie algebra
negative_passages.docid: 35248
negative_passages.text: Getting started with Lie Groups
negative_passages.docid: 95686
negative_passages.text: $Lie(G \times H)\cong Lie(G)\oplus Lie(H)$
negative_passages.docid: 58653
negative_passages.text: The opposite of Weyl's theorem on Lie algebras
negative_passages.docid: 69694
negative_passages.text: Classify orbits of conjugating action on $GL_2(\mathbb{C})$
negative_passages.docid: 39657
negative_passages.text: Strictly Upper Triangular $n\times n$ Matrices form a Nilpotent Lie Algebra over $\mathbb{C}$ for $n\geq 2$
negative_passages.docid: 18893
negative_passages.text: $\varphi:G\to H$ is a Lie Group Homomorphism, then $\ker \varphi$ has Lie algebra $\ker D_e \varphi$
negative_passages.docid: 68001
negative_passages.text: Semisimple Lie algebras are perfect.
negative_passages.docid: 84677
negative_passages.text: An Explicit Isomorphism Between the Three Dimensional Orthogonal Lie Algebra and the Special Linear Lie Algebra of Dimension $3$
negative_passages.docid: 58135
negative_passages.text: Quotient group $SL(2,\mathbb{R})/SO(2,\mathbb{R})$
negative_passages.docid: 111883
negative_passages.text: Representations of a product of Lie groups