Contraction of Lie Groups
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Publication:3278383
DOI10.1063/1.1724208zbMath0098.25804WikidataQ56776096 ScholiaQ56776096MaRDI QIDQ3278383
Publication date: 1961
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
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CONTRACTIONS OF LIE ALGEBRA REPRESENTATIONS ⋮ The Observables of a Dissipative Quantum System ⋮ QUANTUM FIELD THEORY IN A SYMMETRIC CURVED SPACE FROM A SECOND QUANTIZATION ON A GROUP ⋮ Extended harmonic analysis of phase space representations for the Galilei group ⋮ QUANTUM BI-HAMILTONIAN SYSTEMS ⋮ The contraction of the SU(1,1) discrete series of representations by means of coherent states ⋮ Contraction of broken symmetries via Kac-Moody formalism ⋮ Contractions of low-dimensional Lie algebras ⋮ GENERALIZED CONFORMAL SYMMETRY AND EXTENDED OBJECTS FROM THE FREE PARTICLE ⋮ On Contractions of Semisimple Lie Groups ⋮ R-matrix, Lax pair, and multiparameter decompositions of Lie algebras ⋮ Contractions of the Maxwell algebra ⋮ Projectively equivalent 2-dimensional superintegrable systems with projective symmetries ⋮ Contraction of Lie algebra representations ⋮ The three-dimensional real Lie algebras and their contractions ⋮ Graded contractions of sl(3,C) ⋮ JET-GAUGE GROUPS AS BASIC SYMMETRIES OF NON-LINEAR SIGMA AND YANG–MILLS MODELS AND QUANTIZATION ⋮ Black holes, information, and the universal coefficient theorem ⋮ On relativistic analogues of particle dynamics ⋮ Asymmetric Galilean conformal algebras ⋮ On contractions of Lie algebras ⋮ Unnamed Item ⋮ Inhomogeneous cosmological models with homogeneous inner hypersurface geometry ⋮ Quadratic algebra contractions and second-order superintegrable systems ⋮ Graded contractions and kinematical groups of space–time ⋮ Deformations of the Galilean algebra ⋮ Gauge principle revisited: Towards a unification of space–time and internal gauge interactions ⋮ Group-cohomology refinement to classify G-symplectic manifolds ⋮ Supergroup approach to the Hubbard model ⋮ On Some Unitary Representations of the Galilei Group I. Irreducible Representations ⋮ Invariant functions and contractions of certain types of Lie algebras of lower dimensions ⋮ Galilean contractions of \(W\)-algebras ⋮ Symmetries of the hydrogen atom and algebraic families ⋮ Lowest-dimensional example on non-universality of generalized Inönü-Wigner contractions ⋮ Deformation quasi-Hopf algebras of non-semisimple type from cochain twists ⋮ Gabor analysis as contraction of wavelets analysis ⋮ Infinite S-expansion with ideal subtraction and some applications ⋮ Unnamed Item ⋮ Degenerations of Lie algebras and geometry of Lie groups ⋮ Dynamical algebra of observables in dissipative quantum systems ⋮ Bianchi cosmologies with anisotropic matter: locally rotationally symmetric models ⋮ Algebraic Nijenhuis operators and Kronecker Poisson pencils ⋮ Tensorial dynamics on the space of quantum states ⋮ Contraction of graded su(2) algebra ⋮ Contractions of Lie algebras: Generalized Inönü–Wigner contractions versus graded contractions ⋮ Relativistic and Newtonian κ -space–times ⋮ Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras ⋮ Canonical coherent states for the relativistic harmonic oscillator ⋮ Generalized Wigner-Inönü contractions and Maxwell (super)algebras ⋮ Degenerations of central quotients ⋮ Addendum: On Geroch’s limit of space-times and its relation to a new topology in the space of Lie groups [J. 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Phys. 2 8, 1928 (1987)] ⋮ CONTRACTIONS, GENERALIZED INÖNÜ-WIGNER CONTRACTIONS AND DEFORMATIONS OF FINITE-DIMENSIONAL LIE ALGEBRAS ⋮ Simple orthogonal and unitary compact quantum systems and the İnönü–Wigner contraction ⋮ Group contraction in quantum field theory ⋮ Contractions of Lie algebras with 2-dimensional generic coadjoint orbits ⋮ \(D=3(p,q)\)-Poincaré supergravities from Lie algebra expansions ⋮ Unnamed Item ⋮ ALGEBRAIC EQUIVALENCE BETWEEN CERTAIN MODELS FOR SUPERFLUID–INSULATOR TRANSITION ⋮ Expansions of algebras and superalgebras and some applications ⋮ Contractions of rotation groups and their representations ⋮ On the contraction of the discrete series of \(SU(1,1)\) ⋮ Contractions with necessarily unbounded matrices ⋮ Compatible \(\mathcal{O}\)-operators on bimodules over associative algebras ⋮ Affine Toda equations and solutions in the homogeneous grading ⋮ Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems ⋮ Coherent states and Lie algebras ⋮ Contractions, deformations and curvature ⋮ Lie groups and homogeneous spaces ⋮ Degeneration, Rigidity and Irreducible Components of Hopf algebras ⋮ Cohomology theory and deformations of Z2-graded lie algebras ⋮ Simple completable contractions of nilpotent Lie algebras ⋮ Contact transformations. 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