query: Subgroup of $GL(n,\mathbb{C})$ that is not a Matrix Lie group
positive_passages.docid: 149772
positive_passages.text: How can a Lie subgroup of a matrix Lie group not be a matrix Lie group
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: 91021
negative_passages.text: Torsion elements of a group aren't necessarily a subgroup
negative_passages.docid: 88221
negative_passages.text: Find the center of the group $\operatorname{GL}(n,\mathbb R)$ of invertible $n \times n$ matrices.
negative_passages.docid: 151210
negative_passages.text: How can we find and categorize the subgroups of $\mathbb{R}$?
negative_passages.docid: 30794
negative_passages.text: Commutator Group of $GL_2(R)$ is $SL_2(R)$
negative_passages.docid: 2064
negative_passages.text: Finite subgroups of orthogonal transformations in $\mathbb{R}^3$
negative_passages.docid: 27865
negative_passages.text: What is the number of invertible $n\times n$ matrices in $\operatorname{GL}_n(F)$?
negative_passages.docid: 4838
negative_passages.text: For $N\unlhd G$ , with $C_G(N)\subset N$ we have $G/N$ is abelian
negative_passages.docid: 18182
negative_passages.text: An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
negative_passages.docid: 102246
negative_passages.text: Are there nonsmooth Lie groups?
negative_passages.docid: 67694
negative_passages.text: Nonabelian group with all irreducible representations one-dimensional
negative_passages.docid: 61373
negative_passages.text: A normal subgroup that is not a characteristic
negative_passages.docid: 43004
negative_passages.text: Why are there $|G/G'|$ 1-dimensional representations of $G$?
negative_passages.docid: 122353
negative_passages.text: Status of the classification of non-finitely generated abelian groups.
negative_passages.docid: 96380
negative_passages.text: Representation of $\text{sl}(2,\mathbb{C})$
negative_passages.docid: 27056
negative_passages.text: $ gl(2,\mathbb C) \cong sl(2,\mathbb C) \oplus \mathbb C $