## Group Theoretical Methods in Physics: Proceedings of the Third Yurmala Seminar, Yurmala, Ussr, 22-24 May 1985, Volume 1Moiseĭ Aleksandrovich Markov, Vladimir Ivanovich Mano, Victor V. Dodonov These Proceedings cover various topics in modern physics in which group theoretical methods can be applied effectively. The two volumes, containing over 100 papers, cover such areas as representation theory, the theory and applications of dynamical symmetries and coherent states, symmetries in atomic, molecular, nuclear and elementary particle physics, field theory including gauge theories, supersymmetry and supergravity, general relativity and cosmology, the theory of space groups and its applications to solid state physics and phase transitions, the problems of quantum and classical mechanics and paraxial optics, and the theory of nonlinear equations and solitons. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Twenty years of dynamical groups and spectrum generating algebras | 3 |

Quantum invariants and state system generating algebra | 51 |

Transvector algebras in representation theory and dynamic symmetry | 71 |

The Galilei group in investigations of symmetry properties of Maxwell equations | 95 |

Conformally invariant nonlinear equations of electromagnetic field | 111 |

Canonical basis in irreducible representations of g3 and its applications | 127 |

Multiplicities and proper bases for gln | 147 |

On Rmatrix quantization of formal loop groups | 161 |

E Ferrer V P de la Insera and A E Shabad | 363 |

p2symmetry space groups | 377 |

Application of the permutationinversion symmetry group to the analysis | 397 |

R Dirl P Kasperkovitz J N Kotzev M I AroyoandM N Angelova | 419 |

Kraizman V P Sakhnenkoand G M Chechin | 433 |

Large unit cellsmall Brillouin zone model in the oscillation problems | 441 |

On the phenomenologic description of electronic phase transitions | 459 |

New topological invariants of linked linear defects in condensed matter | 477 |

Symmetric basis in Lie group representation theory and constructing | 181 |

Invariant algebraic methods and symmetric analysis of cooperative phenomena | 201 |

On structure of the representations of U21 with extremal vector | 223 |

The elements of the SU3 WignerRacah algebra | 243 |

N Tolstoy Yu F Smirnov and Z Pluhar | 259 |

Casimir operators of the generalized Poincare and Galilei groups | 275 |

On topological properties of orbit space in gauge field theories | 297 |

Large Nlimit in UN oneplaquette models | 319 |

Higgs models resulting from symmetric spaces | 343 |

Tensor field representation in the nuclear solid state physics | 491 |

Universal invariants of paraxial optical beams | 523 |

S G Krivoshlykov N I Petrov and I N Sisakyan | 539 |

Application of four and five dimensional rotation groups to description | 563 |

The threshold phenomena on threeparticle Coulomb systems | 585 |

Structure and features of the constant nonabelian field Hamiltonians generated | 605 |

O VorovandV Zelevinsky | 618 |

Yu F SmirnovandR M Asherova | 639 |

### Common terms and phrases

2-gauge field aberration angular momentum arbitrary atomic axes axis boson calculate canonical basis Casimir operators classical Clebsch-Gordan coefficients commutation components consider construct corresponding crystal defined denote described determined dimensional dynamic symmetry eigenvalues energy expansion expression finite formula G-pattern Galilei gauge group gauge theories group G group-theoretical Hamiltonian highest weight interaction invariant irreducible representations irrep isomorphic lattice Lett Lie algebra Lie groups linear linking coefficient magnetic Math matrix elements Maxwell equations metry modules molecules Moscow Russian multiplet multiplicity Nauka nonlinear Nucl nuclear nuclei obtained octonions optical oscillator p-symmetry parameters particle permutation phase Phys polynomials Preprint problem properties quantum numbers quantum system reduced relations relativistic rotation satisfy scalar solution space groups spectrum spin string structure SU(N subalgebra subgroup subspace symmetry group tensor Theorem tion transformations transition unitary variables vector wave Weyl Wigner