KnowraLie groupLinked fromLinked fromThe 39 pages that link to Lie group, each with the reason it gives.All 39Broader topic 5Related 19Narrower topic 13Compared with 2Gauge theoryNarrower topic: Its elements specify the continuous transformations allowed by a gauge theory.Élie CartanNarrower topic: Cartan’s classification and representation work made Lie groups a central subject of modern mathematics.Hermann WeylNarrower topic: Lie groups gave Weyl a language for continuous symmetries in geometry and physics.Yang–Mills theoryNarrower topic: Yang–Mills gauge symmetries are built from continuous groups.Spherical symmetryNarrower topic: Continuous rotation symmetries are described using this mathematical framework.Lie's third theoremNarrower topic: The theorem identifies the global object integrating the given Lie algebra.SU(2)Narrower topic: SU(2) is a compact Lie group, so its algebraic and continuous structures interact.Baker–Campbell–Hausdorff formulaNarrower topic: Its local multiplication is what the formula translates into Lie-algebra terms.Lie product formulaNarrower topic: Exponentials of Lie algebra elements describe local motion within these groups.Poincaré–Birkhoff–Witt theoremNarrower topic: The theorem developed from algebraic questions arising in the study of Lie groups.Mostow rigidity theoremNarrower topic: Hyperbolic isometries form a Lie group, central to rigidity arguments.Closed-subgroup theoremNarrower topic: The theorem emerged from the structural study of these groups.Grigory MargulisNarrower topic: Continuous symmetries in Lie groups underpin many of the groups Margulis studied.