query: Why does a Gauge group have to be a compact Lie group?
positive_passages.docid: 55316
positive_passages.text: Why is the Yang-Mills gauge group assumed compact and semi-simple?
negative_passages.docid: 43004
negative_passages.text: Why are there $|G/G'|$ 1-dimensional representations of $G$?
negative_passages.docid: 98010
negative_passages.text: Constructing a metric on a Lie Group
negative_passages.docid: 114569
negative_passages.text: How do you find the Lie algebra of a Lie group (in practice)?
negative_passages.docid: 155597
negative_passages.text: Why closed in the definition of a symplectic structure?
negative_passages.docid: 75391
negative_passages.text: How to prove that a left-invariant metric on a Lie group is smooth?
negative_passages.docid: 72548
negative_passages.text: Lie group embeddings $SO(10) \supset SU(3) \times SU(2) \times U(1)?$
negative_passages.docid: 72602
negative_passages.text: Why is important for a manifold to have countable basis?
negative_passages.docid: 55652
negative_passages.text: Fundamental group of the torus
negative_passages.docid: 93147
negative_passages.text: Topological groups, why need them?
negative_passages.docid: 145809
negative_passages.text: Automorphism group of a lie algebra as a lie subgroup of $GL(\frak g)$
negative_passages.docid: 104604
negative_passages.text: How do I find the values for the structure constants ($f^{abc}$) of a gauge group?
negative_passages.docid: 21057
negative_passages.text: Complex algebraic group is reductive $\iff$ it is the complexification of a compact Lie group?
negative_passages.docid: 145683
negative_passages.text: What, in simplest terms, is gauge invariance?
negative_passages.docid: 124245
negative_passages.text: How are groups with the same Lie Algebra inequivalent?
negative_passages.docid: 36797
negative_passages.text: How do I construct the $SU(2)$ representation of the Lorentz Group using $SU(2)\times SU(2)\sim SO(3,1)$ ?
negative_passages.docid: 73113
negative_passages.text: Groups and Symmetries