Group Theoretical Methods in Physics

The use and ultimate validity of invariance principles....Pages 1-12
Cohomology and contraction: The “non-relativistic” limit revisited....Pages 13-18
Linearization — A unified approach....Pages 19-23
Weyl kinematical groups of electromagnetic and energy-momentum tensors....Pages 24-26
From spinors to probability amplitudes of external and internal variables for spinning particles....Pages 27-29
A characterizatton of factor systems of locally-operating representations....Pages 30-32
Recent developments on shift operators....Pages 33-35
Unitary and non-unitary, multiplicity free irreducible representations of SL (3,R)....Pages 36-38
The symmetry group of a differential equation....Pages 39-44
Group contractions and the E(2)-like little group for massless particles as an infinite-momentum/zero-mass limit of the 0(3)-like little group for massive particles....Pages 45-49
Representation approach to lattices of subgroups of space groups....Pages 50-52
Young tableaux for the Lie superalgebra OSP(M/N)....Pages 53-55
The associated Lie Algebra of $$\\ddot x$$ + f 2 $$\\dot x$$ + f 1 x = f 0 ....Pages 56-58
Three-dimensional commutative diagram of group homomorphisms....Pages 59-60
Indecomposable representations of Verma type....Pages 61-64
Some recent results on the SU(3)⊃ SO(3) state labelling problem....Pages 65-69
Indecomposable representations of some graded Lie Algebras....Pages 70-72
Stephen Paneitz: A brief appreciation....Pages 73-78
Indecomposable representations of the Poincare group and associated fields....Pages 79-83
SL(n,R)/SO(n) unirreps and group decontraction....Pages 84-87
Hysteresis & universal bifurcation in natural processes....Pages 88-90
Irreducible representations of the basic classical Lie superalgebras SU(m/n) ; SU(n/n)/U(1) ; OSp(m/2n) ; D(2/1 ; α ) ; G(3) ; F(4).....Pages 91-93
Group representations in indefinite metric spaces....Pages 94-98
Tensor operator realisations of the classical Lie Algebras and non-trivial zeros of the 6j-symbol....Pages 99-100
Yang - Baxter algebras of dynamical charges in the chiral gross - Neveu model....Pages 101-105
Subgroups of Lie groups and symmetry reduction for nonlinear partial differential equations....Pages 107-113
Spinorial description of Lie superalgebras....Pages 114-118
Noetherian symmetries, backlund transformation and conservation laws for a completely integrable three dimensional system....Pages 119-121
Einstein equations without killing vectors, self-dual Yang-Mills field and non-linear sigma models (integrability properties, links, new solutions)....Pages 122-124
Jet bundle technique, Lie Bäcklund vector fields and diffusion equations....Pages 125-129
A group-theoretic treatment of Gaussian optics and third-order aberrations....Pages 130-132
Study of Michel\'s conjecture....Pages 133-136
Conformally invariant solutions of Yang-Mills equations in Minkowski space....Pages 137-143
Two body relativistic scattering with an 0(1,1) symmetric sqaure well potential....Pages 144-148
Emergence of central extension of Kac-Moody algebra in quantum integrable models....Pages 149-152
Cohomological interpretation of anomalies the example of the trace anomaly....Pages 153-158
On pure, conformal and exotic spinors....Pages 159-161
Pohlmeyer-type transformations in general relativity....Pages 162-179
On group covariance and the law of motion in a generalized metric theory....Pages 180-182
Minimalization of Higgs potentials with application to the SU(5) model....Pages 183-185
Self-dual monopoles and calorons....Pages 186-188
U(1) Invariant hierarchy theories in d-dimension antisymmetric gauge tensor fields....Pages 189-200
Generalized connection forms with linearized curvature....Pages 201-203
Dynamical symmetry breaking in S 4 De Sitter space....Pages 204-206
Applications of conformal invariance to gauge Quantum Field Theory....Pages 207-209
On the necessity of breaking colour SU C (3) symmetry....Pages 210-236
Massive vector superfields with SU(2) internal symmetry....Pages 237-242
Supergravity in eleven-dimensional space-time....Pages 243-248
Dimensional reduction of exceptional gauge groups and flavor chirality....Pages 249-283
Seven - Spheres from octonions....Pages 284-286
A solution of Bianchi identities for extended supergravities....Pages 287-294
N=2 unconstrained superfield supergravity from hypermultiplet....Pages 295-297
Euclidean supersymmetries in three and four dimensions....Pages 298-300
Gauge theories in higher dimensions: Linear relations for gauge fields, integrability conditions, spherical symmetry in eight dimensions....Pages 301-305
Quantum vortices and diff (ℝ 3 )....Pages 306-310
The time dependent Sp(2,ℝ) model for the breathing mode....Pages 311-320
The quark structure of nuclei from a group theoretical viewpoint....Pages 321-325
Group theoretic approach to spherical anharmonic oscillator....Pages 326-336
Operator averages and orthogonalities....Pages 337-339
Advances in the theory of collective motion in nuclei....Pages 340-342
Quantum effects in classical phase space: Symplectic structures associated to the scattering of nuclear fragments....Pages 343-351
Gamow states in momentum representation....Pages 352-354
Geometry of nuclear collective motions....Pages 355-359
Is it possible to separate the kinetic energy and the velocity field into a collective and an intrinsic part W.R.T. the GL + (3,)R) collectivity?....Pages 360-367
Computer generated Clebsch-Gordan (C-G) coefficients for space groups....Pages 368-370
Automorphism symmetries of space group representations....Pages 371-375
Lattices of symmetric groups S 5 and S 6 and exomorphism of group-subgroup relations up to index 6....Pages 376-380
A direct-expansion method for tensor properties of crystals....Pages 381-383
Isotropy groups of space groups — A simple method for their determination....Pages 384-389
Landau\'s theory of crystalline phase transitions in a superspace formulation....Pages 390-393
Symmetry breaking in solid state and particle physics....Pages 394-396
Counterexamples to the maximality conjecture of Landau-Higgs models....Pages 397-407
Some mathematical problems in renormalization group theory....Pages 408-411
On the Racah algebra for Shubnikov magnetic groups....Pages 412-415
On periodic and non-periodic space fillings of E m obtained by projection....Pages 416-419
Invariants for physically irreducible representations of space groups....Pages 420-422
On symmetry aspects of phase transitions with coupled parameters....Pages 423-427
Quasisymmetry (P-symmetry) in crystals....Pages 428-433
Braid groups and Euclidean Lie algebras in statistical mechanics of spin systems....Pages 434-437
Phase coexistence in many-fermion systems....Pages 438-443
Mean field renormalization group approach to lattice models....Pages 444-447
Linear-antilinear representations of magnetic line groups....Pages 448-451
Anderson transition and nonlinear α-model....Pages 452-453
Do energy bands in solids have an identity....Pages 454-462
Coupling coefficients for the space group of the hexagonal close-packed structure....Pages 463-472
Harmonic analysis on phase space and Born\'s metric for space time....Pages 473-476
Generalized Chebyshev polynomials and characters of GL(N,C) and SL(N,C) (fragments of results)....Pages 477-482
Tensor operators as an extension of the universal enveloping algebra....Pages 483-485
A group-theoretical criterion for an Einstein-Podolsky-Rosen state....Pages 486-493
Group theory algebras and bosonization....Pages 494-496
SO(3) commutators for angular momentum and rotation observables....Pages 497-501
Integrals of motion of nonstationary quantum systems....Pages 502-503
Geometric properties of the lowest energy state for a polynomial Hamiltonian....Pages 504-507
Groupes différentiels et physique mathématique....Pages 508-510
Gauge invariance and canonical transformations in Dirac generalized mechanics....Pages 511-513
....Pages 514-516