KnowraLie algebraLinked fromLinked fromThe 23 pages that link to Lie algebra, each with the reason it gives.All 23Broader topic 5Related 9Narrower topic 9Gauge theoryRelated: Gauge potentials and infinitesimal gauge transformations take values in this algebra.Élie CartanRelated: Cartan connected Lie groups to their infinitesimal algebras and classified the finite-dimensional simple cases.Poisson bracketRelated: Under the Poisson bracket, smooth functions acquire this algebraic structure.Yang–Mills theoryRelated: Its generators determine the gauge-field components and their interaction structure.Lorentz groupRelated: It captures the infinitesimal structure underlying continuous Lorentz transformations.Noncommutative algebraRelated: Its bracket extracts a noncommutative structure from associative multiplication.SU(2)Related: The Lie algebra su(2) captures infinitesimal transformations near the identity of SU(2).Lie product formulaRelated: The formula relates exponentials of Lie algebra elements to products in a group.Symmetry in quantum mechanicsRelated: Generators provide local descriptions of continuous symmetry transformations.