| Foreword |
| Introduction |
| International Standing Committee |
| International Advisory Committee |
| Local Organizing Committee |
| Obituary |
| The 2002 Wigner Medal |
| The Wigner Medal 2002: Introduction / A R Bohm |
| Awarding of the Wigner Medal for 2002 to Prof H J Lipkin of the Weizmann Institute of Science Rehovoth, Israel / Y Ne'eman |
| Response to the award of the Wigner Medal / H J Lipkin |
| The 2002 Hermann Weyl Prize |
| The Hermann Weyl Prize: Introduction |
| Affine Kac-Moody algebras, integrable systems and their deformations / E Frenkel |
| Plenary Sessions |
| Quantum computing using dissipation / A Beige |
| Properties of non-Hermitian quantum field theories / C M Bender |
| Cooperativity and symmetry at biological scales / A Carbone |
| Quantum geometry of ADE diagrams and generalized Coxeter-Dynkin systems / R Coquereaux |
| A review of Berezin--and other--quantization methods / M Englis |
| Symmetry and graph theory as tools for the treatment of [pi]-systems / P W Fowler |
| Noncommutative geometry and physics: the first 10 years / J M Gracia-Bondia |
| Delone set models for quasicrystals / J C Lagarias |
| Lie symmetries for lattice equations / D Levi |
| Path group in gauge theory and gravity / M B Mensky |
| Recent applications of topology and group theory in condensed matter / M I Monastyrsky |
| Exceptional groups and physics / P Ramond |
| Group projection method in statistical systems / K Redlich ; F Karsch ; A Tounsi |
| Symmetric polynomials in physics / H J Schmidt ; J Schnack |
| Strings, symmetries and representations / C Schweigert ; I Runkel ; J Fuchs |
| Solitons, platonic symmetry and Fullerenes / P M Sutcliffe |
| Special Plenary Session & Round Table: Historical and Epistemological Aspects of Group Theory in Physics |
| Historical and epistemological aspects of group theory in physics: An interlude / S T Ali ; G A Goldin ; R Kerner |
| What if Einstein had not been there? A Gedankenexperiment in science history / J-M Levy-Leblond |
| Discrete Groups and Geometry / Section 1： |
| Wavelet basis for quasicrystal diffraction / M Andrle ; A Elkharrat |
| Haar wavelets for the quasiperiodic icosahedral Danzer tiling / P Kramer |
| Quasicrystalline combinatorics / M Baake ; U Grimm |
| Self-similar cut-and-project sequences / P Balazi ; E Pelantova |
| Closed geodesics in cosmology and discrete group actions on hyperbolic manifolds |
| Using the renormalization group for the evaluation of electronic localization / G G Naumis |
| Tilings and coverings embedded into the canonical decagonal tiling T*[superscript (A subscript 4)] / Z Papadopolos ; G Kasner |
| Delone sets of beta-integers, Rauzy fractals and adeles / J-L Verger-Gaugry |
| Superspace groups for incommensurate composite systems / P Zeiner ; T Janssen |
| Strings, Cosmology and Gravitation / Section 2： |
| Spacetime algebraic skeleton / R Aldrovandi ; A L Barbosa |
| Are we permitted to deform the Poincare group? / H Bacry |
| O(d+1,d+n+1)-invariant formulation of stationary heterotic string theory / N Barbosa-Cendejas ; A Herrera-Aguilar |
| Metric-polynomial structures and gravitational Lagrangians / A Borowiec |
| Octonions and M-theory / L J Boya |
| Symmetry and invariance in Leibniz's approach of natural phenomena. Application to dynamics / N Daher |
| Gravitating lumps--2002 / D V Gal'tsov |
| Group theoretical approach to QFT in de Sitter space / T Garidi ; E Huguet ; J Renaud |
| Time in quantum geometrodynamics / N D George ; A P Gentle ; A Kheyfets ; W A Miller |
| Conformal Lie algebras of spacetimes / F J Herranz ; M Santander |
| Orthogonal symmetry and matrix potentials in heterotic string theory |
| Orthogonal polynomials of several discrete variables and the 3nj-Wigner symbols: applications to spin networks / M Lorente |
| Holomorphic realization of non-commutative space-time and gauge invariance / R M Mir-Kasimov |
| Four classes of modified relativistic symmetry transformations / J Lukierski ; A Nowicki |
| Cosmic evolution as inertial motion in the field space of GR / V Pervushin ; D Proskurin |
| New Einstein-Hilbert type action and unity of nature / K Shima |
| Fuzzy D-branes on group manifolds / J Pawelczyk ; H Steinacker |
| Fractals in cosmology / F Sylos Labini ; A Gabrielli |
| Quantization of scalar fields in curved background, deformed Hopf algebra and entanglement / A Iorio ; G Lambiase ; G Vitiello |
| Conformal Theories and Integrable Systems / Section 3： |
| Generalized non-abelian Toda models of dyonic type / J F Gomes ; G M Sotkov ; A H Zimerman |
| Local scale invariance, conformal invariance and dynamical scaling / M Henkel |
| Loop models from Coulomb gases and supersymmetry: Goldstone phases in 2D polymers / J L Jacobsen |
| Magnetic properties of quasi-one-dimensional strongly correlated systems / P Pujol |
| Joint description of periodic SL(2,R) WZNW model and its coset theories / G Jorjadze ; G Weigt |
| Particle and Nuclear Physics / Section 4： |
| Representations and interactions from field equations on an extended spin space / J Besprosvany |
| Mass relations for the quark-diquark model / S Catto ; J Huntley ; N Moh ; D Tepper |
| On the role of quantum deformation in isovector pairing interactions in nuclei / K D Sviratcheva ; C Bahri ; J P Draayer ; A I Georgieva |
| Mixed-symmetry shell-model calculations / V G Gueorguiev |
| The boson/fermion statistic for SU(3) colour requires quark confinement / W P Joyce |
| How to define colour charge in quantum chromodynamics / J Kijowski ; G Rudolph |
| Geometrisation of electromagnetic and weak interactions and geometrical mechanism of P and T violation / O A Olkhov |
| Weak chiral symmetry in the standard model--deformed cyclic symmetry for chiral family mixings / I S Sogami ; K Koizumi |
| Stability of monopole condensation in SU(2) QCD / Y M Cho ; M L Walker |
| Atomic and Molecular Physics, Theoretical Chemistry, Condensed Matter / Section 5： |
| Algebraic models and quantum deformations in molecular thermodynamics / M N Angelova |
| The Bilbao Crystallographic Server / E Kroumova ; C Capillas ; M I Aroyo ; J M Perez-Mato ; S Ivantchev ; G Madariaga ; A Kirov ; H Wondratschek ; H T Stokes ; D M Hatch |
| Quantum algebraic symmetries in atomic nuclei and metal clusters / D Bonatsos ; B A Kotsos ; P P Raychev ; P A Terziev |
| Broken symmetry and symmetry classification of magnetic ordering in doped crystals / B R Gadjiev |
| Duality and conformal twisted boundaries in the Ising model |
| Quantum Frenkel-Kontorova model / C-L Ho ; C-I Chou |
| Geometric mechanics for applications in diatomic and triatomic molecular dynamics / F J Lin |
| Regular fractal structure of the energy matrix in 1D Heisenberg open spin-1/2 chains / F Pan ; L-R Dai ; D Zhang |
| New applications of the group theory in the kinetic theory of gases / V L Saveliev |
| Ladder operators for integrable one-dimensional lattice models / M C Takizawa ; J R Links |
| Macroscopic properties of A-statistics and A-superstatistics / T D Palev ; J Van der Jeugt |
| Admissible partitions and the square of the Vandermonde determinant / B G Wybourne |
| Noncommutative Geometry / Section 6： |
| Yang-Mills and Born-Infeld actions on finite group spaces / P Aschieri ; L Castellani ; A P Isaev |
| Noncommutative geometry on the algebra U(su[subscript 2]) and quantization of coadjoint orbits / E Batista ; S Majid |
| Quantum de Rham complex with d[superscript 3] = 0 differential on GL[subscript p,q](2) / N Bazunova |
| Realization of q-deformed spacetime as star product by a Drinfeld twist / C Blohmann |
| Equivariant noncommutative index on braided orbits / D Gurevich ; P Saponov |
| Noncommutative planar particles: higher order versus first order formalism and supersymmetrization / P Stichel ; W J Zakrzewski |
| A locally trivial quantum Hopf bundle / R Matthes |
| Z[subscript n]-graded topological generalizations of supersymmetry and orthofermion algebra / A Mostafazadeh |
| Homogeneous algebras, parastatistics and combinatorics / T Popov |
| Lie algebras of order F and extensions of the Poincare algebra / M Rausch de Traubenberg |
| Noncommutative differential geometric method to fractal geometry / J Lawrynowicz ; O Suzuki |
| Non-commutative standard model / X Calmet ; B Jurco ; P Schupp ; J Wess ; M Wohlgenannt |
| Methods and Applications of Quantum Theory / Section 7： |
| 65th Birthday Tribute to Allan Solomon |
| Dissipative 'groups' and the Bloch ball / A I Solomon ; S G Schirmer |
| Gauging quantum-mechanical space-time symmetry / V Aldaya ; J L Jaramillo ; J Guerrero |
| Quantum XOR operation using macroscopic polarization states of light in Mach-Zehnder interferometer / A Y Leksin ; A P Alodjants ; A V Prokhorov ; S M Arakelian |
| Semigroup techniques for the efficient classical simulation of optical quantum information / S D Bartlett |
| Groups and semigroups in scattering theory--Poincare transformations and decaying states / A Bohm ; H Kaldass ; S Wickramasekara |
| Quantum ground-mode computation with static gates / G Castagnoli ; D R Finkelstein |
| Complex coherent states and non equilibrium quantum thermodynamics / E Celeghini |
| Deformation quantization of damped systems / D Chruscinski |
| Coherent state realizations of su(n + 1) in terms of subgroup functions / H de Guise ; M Bertola |
| Metric formulation of Galilean invariance in five dimensions / M de Montigny ; F C Khanna ; A E Santana |
| Nonperturbative approach to potentials in impenetrable boxes based on quasi-exact solvability / A de Souza Dutra ; V G C S dos Santos ; A M Stuchi |
| Critical temperature for entanglement transition in Heisenberg Models / H Fu ; X Wang |
| Nonlinear extension of quantum mechanics: remarks and recent results / H-D Doebner |
| Quantization of the linearized Kepler problem / J M Perez |
| Alternative Hamiltonians and Wigner quantization / A Horzela |
| Spectral properties of Landau operator with [delta] cylinder interaction / M N Hounkonnou ; G Honnouvo |
| The Jaynes-Cummings model and raising and lowering operators / V Hussin ; L M Nieto |
| Differential form of the star product for SU(2) Stratonovich-Weyl symbols / A B Klimov ; P Espinoza |
| On the combined effect of different symmetries on quantum mechanical potentials / G Levai |
| The application of Lie algebras to the separation of degrees of freedom in problems with many degrees of freedom |
| Multivariable Hermite polynomials, nonlinear coherent states and photon distributions / O V Man'ko |
| Hidden SL(2,R) symmetry for time-dependent Schrodinger equations / S Okubo |
| The particle-operator and particle states in quantum field theory / M Omote ; S Kamefuchi |
| Combinatorics of boson normal ordering: the Dobinski formula revisited / K A Penson |
| Non-Hermitian Hamiltonians with real and complex eigenvalues: An sl(2,C) approach / B Bagchi ; C Quesne |
| The stationary Maxwell-Dirac equations / C Radford |
| Confined systems through variational supersymmetric quantum mechanics / E Drigo Filho ; R M Ricotta |
| Quantum version of Hamilton-Jacobi theory for time-dependent systems / S Sakoda |
| Heun equation and Inozemtsev models / K Takemura |
| Group-theoretical and algebraic aspects of Bose-Einstein condensation of interacting particles in traps / O K Vorov ; M S Hussein ; P Van Isacker |
| Quantum coding with systems with finite Hilbert space / A Vourdas |
| A note on the optimal teleportation / W-L Yang |
| Generalized relativistic dynamics as a dynamics of third order / R M Yamaleev |
| Reorganization of energy bands in quantum finite particle systems / B I Zhilinskii |
| PT symmetry and supersymmetry / M Znojil |
| Algebras, Groups and their Representations / Section 8： |
| New infinite-dimensional Lie algebras of U (N[subscript +], N[subscript -])-tensor operators and applications / M Calixto |
| Invariants of Lie algebras having a frobeniusian structure / R Campoamor-Stursberg |
| Quantization on compact groups / G Chadzitaskos ; J Tolar |
| Special functions, raising and lowering operators / N Cotfas |
| All positive energy UIRs of D=6 conformal supersymmetry / V K Dobrev |
| Supersymmetry and special functions / A M Frydryszak |
| Quantization of phases and moduli in terms of the group SO[superscript up arrow] (1, 2) / H A Kastrup |
| p-Mechanical brackets and method of orbits / V V Kisil |
| The Kahler form on the loop group and the Radul cocycle on pseudo-differential operators / J-P Magnot |
| Cohomology and Bessel functions theory / M Mekhfi |
| Representations of classical Lie algebras from their quantum deformations / P Moylan |
| On the symmetries of the 16 Genetic Code-Doublets / T Negadi |
| A group theoretical approach to quantum theories on commutative and non-commutative spheres / K Odaka |
| Milne phase for the Coulomb quantum problem related to Riemann's hypothesis / H C Rosu ; J M Moran-Mirabal ; M Planat |
| Hierarchy of gradings on sl(3, C) and summary of fine gradings on sl(4, C) / M Svobodova |
| Quadratic algebras in simple exclusion models / R Twarock |
| Finite su(2)-oscillator; applications to signal processing / L E Vicent |
| Nonlinear Systems and their Symmetries / Section 9： |
| Infinite-dimensional Lie groups of symmetries of the ideal MHD equilibrium equations / O I Bogoyavlenskij |
| Lie symmetries of nonlinear reaction-diffusion systems with variable diffusivities / R Cherniha ; J R King |
| On geometric aspects of Weierstrass representations associated with CP[superscript N] harmonic maps / A M Grundland |
| Integrability and exact solution of an electronic model with long range interactions / K E Hibberd |
| Conservation laws for fractional differential equations / M Klimek |
| A new powerful method for solving non-linear differential equations: Burgers' equation as an example / S Otarod |
| On infinite symmetries and essential conservation laws for Navier-Stokes equations / V Rosenhaus |
| Green's function for dissipative quantum systems and its relation to nonlinear evolution equations / D Schuch |
| On the role of weak transversality in Lie group theory / P Tempesta |
| Mini-Symposium: Quantum Group Theory and Integrable Systems Invited Talks |
| q-Painleve systems arising from a q-difference analogue of the KP hierarchy / M Noumi |
| On constructions of Fock Space / A Ram |
| Representations of quantum groups: constructions and characters from a Hopf algebraic point of view / M Rosso |
| On examples of locally compact quantum groups / L Vainerman |
| Haar weight on some quantum groups / S L Woronowicz |
| Mini-Symposium: Quantum Group Theory and Integrable Systems Contributions |
| RTT presentation of ortho-symplectic super Yangians. Quasi-Hopf deformation / D Arnaudon ; J Avan ; N Crampe ; L Frappat ; E Ragoucy |
| Integrable models with comodule algebra symmetry / A Ballesteros ; F Musso ; O Ragnisco |
| Topological invariants of three-manifolds from U[subscript q](osp(1[vertical bar]2n)) / S C Blumen |
| Quantum groups and interacting quantum fields / C Brouder |
| Dirac monopoles from the Matsumoto non-commutative spheres / T Brzezinski ; A Sitarz |
| Q-Boson realization of the quantum algebras / C Burdik ; O Navratil |
| Dynamical systems associated to bicrossproducts / O Arratia ; M A del Olmo |
| Combinatorics of the q-shuffle product and the quon Weyl algebra / G Duchamp ; C Tollu ; F Toumazet |
| Decoupling of tensor factors in cross product and braided tensor product algebras / G Fiore |
| Differential calculus on quantum spaces / U Hermisson |
| On generalized Freudenthal-Kantor triple systems and Yang-Baxter equations / N Kamiya |
| The Jordanian bicovariant differential calculus / L Mesref |
| Differential calculus on a novel cross-product quantum algebra / D Parashar |
| q-deformations of classical (and quantum) integrable systems associated with coalgebras |
| Sum rules for codon usage frequencies / A Sciarrino ; P Sorba |
| About rational-trigonometric deformation / V N Tolstoy |
| Satellite Colloquium: Coherent States, Wavelets and Signal Processing |
| Coherent states, wavelets and applications |
| Coherent States and Phase Space Methods / Part A： |
| Symplectic geometry of the Wigner transform on noncompact symmetric spaces |
| Wavelet transform and [star] exponential / M Cahen ; S Gutt |
| Phase space techniques for the study of generalized Anti-Wick operators / E Cordero |
| Admissible vectors and traces on the commuting algebra / H Fuhr |
| Localization of frames / K Grochenig |
| Lattices of coherent states and square integrability / A L Hohoueto ; T Kengatharam ; J-P Antoine |
| Unified view of tomographic and other transforms in signal analysis / M A Man'ko |
| Wavelets and their Applications / Part B： |
| Wavelet based regularization for Euclidean field theory / M V Altaisky |
| Measuring a curvature radius with directional wavelets / L Jacques |
| Extracting structural and dynamical informations from wavelet-based analysis of DNA sequences / A Arneodo ; B Audit ; C Vaillant ; Y d'Aubenton-Carafa ; C Thermes |
| Deficient splines wavelets / F Bastin ; P Laubin |
| A general recurrence relation between the moments of a scaling function / S Nicolay |
| Atom modulus quantization for matching pursuits / C De Vleeschouwer |
| Multiscale observations of the solar atmosphere / J-F Hochedez ; S Gissot ; J Jacques |
| Wavelet transform associated to a homogeneous Siegel domain / H Ishi |
| Modeling 2D+1 textures / G Menegaz ; S Valaeys |
| An application of space-adaptive lifting: Image retrieval / P J Oonincx |
| Hybrid audio models and transform coding / B Torresani |
| A wavelet-based model for forecasting non-stationary processes / S Van Bellegem ; P Fryzlewicz ; R von Sachs |
| Louvain-la-Neuve Satellite Workshop List of participants |
| Group 24 in Paris List of participants |
| Author index |
図書
