query: Why isn't $S^2$ a lie group?
positive_passages.docid: 147148
positive_passages.text: why is $S^2$ not a Lie group?
negative_passages.docid: 35509
negative_passages.text: Noether's Theorem: Lie groups vs. Lie algebras; finite vs. infinitesimal symmetries
negative_passages.docid: 99382
negative_passages.text: What is needed to make Euclidean spaces isomorphic as groups?
negative_passages.docid: 137761
negative_passages.text: Why are the fundamental and anti-fundamental representation in $\text{SL}(2,\mathbb{C})$ not equivalent?
negative_passages.docid: 122665
negative_passages.text: Help finding the fundamental group of $S^2 \cup \{xyz=0\}$
negative_passages.docid: 121257
negative_passages.text: Image of Homomorphism of Lie groups
negative_passages.docid: 99465
negative_passages.text: Is every Lie subgroup of $SU(2)$ closed?
negative_passages.docid: 68014
negative_passages.text: Prove that $\mathfrak{su}(2)$ is not isomorphic to $\mathfrak{sl}(2,\mathbb R)$
negative_passages.docid: 30794
negative_passages.text: Commutator Group of $GL_2(R)$ is $SL_2(R)$
negative_passages.docid: 98010
negative_passages.text: Constructing a metric on a Lie Group
negative_passages.docid: 111883
negative_passages.text: Representations of a product of Lie groups
negative_passages.docid: 80623
negative_passages.text: Must $S$ be a unitary matrix?
negative_passages.docid: 86667
negative_passages.text: Is the 1-Dimensional Lie algebra Simple?
negative_passages.docid: 76894
negative_passages.text: Why is spacetime not Riemannian?
negative_passages.docid: 94261
negative_passages.text: why is there no non-degenerate 2-forms on 4-sphere?
negative_passages.docid: 18687
negative_passages.text: First and second homotopy groups of a connected Lie group
negative_passages.docid: 66471
negative_passages.text: Is trace of regular representation in Lie group a delta function?