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Introductory talk

Creating “clouds”

Opening remarks

Laudatio for Professor Francesco Iachello

Symmetry

Dynamical and fundamental symmetries in particles and nuclei

Spectrum generating groups — idea and application

Transition to chaos in hadronic systems

The dynamical group of Riemann ellipsoids

An algebraic model of cluster states in odd-mass nuclei

Compact to noncompact transition and nuclear collective levels

<InlineEquation ID="IE1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="5304_3540540407_Chapter_16_TeX2GIFIE1.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /> </InlineMediaObject><EquationSource Format="TEX">$$\overline {SL(3,R)} \times T^6$$</EquationSource> </InlineEquation> as a nuclear collective motion group

Exceptional groups and the interacting boson approximation

An overview of quantum groups

Integrable theories, Yang-Baxter algebras and quantum groups: An overview

Finite - dimensional irreducible representations of the quantum superalgebra Uq[gl(n/I)]

Projection operator method and Q-analog of angular momentum theory

Quantum algebras and symmetries of dynamical systems

Coulomb gas realization of simple quantum groups

String theory, quantum gravity and quantum groups

<Emphasis Type="Italic">q</Emphasis>-Oscillator realizations of the quantum superalgebras <Emphasis Type="Italic">sl</Emphasis> <Subscript>q</Subscript> <Emphasis Type="Italic">(m, n)</Emphasis>and<Emphasis Type="Italic">osp</Emphasis> <Subscript>q</Subscript> <Emphasis Type="Italic">(m, 2n)</Emphasis>

Relativistic oscillator = <Emphasis Type="Italic">q</Emphasis>-oscillator

Some aspects of the angular momentum coefficients in SU<Subscript>q</Subscript> (2)

Contractions and analytic continuations of the irreducible representations of the quantum algebra su<Subscript>q</Subscript>(2)

Universal R-matrix for quantum supergroups

Recent progress in non-commutative geometry

Algebraic gauge theory and noncommutative geometry

Classification of the symmetries of ordinary differential equations

Conditional symmetries and conditional integrability for nonlinear systems

Cohomology and symmetry of differential equations

Derivations of semi-basic forms and symmetries of second-order equations

Conformal reduction of WZNW theories and W-algebras

The resurrection of a forgotten symmetry: De broglie' s symmetry

Relativistic invariance of a many body system with a Dirac oscillator interaction

Derivation of the geometrical berry phase

Gauge translations and the Berry phase

Geometric quantization: Regular representations and modular algebras

Geometro-stochastic quantization and quantum geometry

SO(4,1)-Coherent states and the geometro-stochastic quantization of a gauge theory for extended objects

Covariant quantum mechanics and the symmetries of its radiation fields

Double stratonovich - Hubbard trick and novel path integral for a system of interacting fermions

Nonrelativistic limit of superfield theories

Remarks on the supersymmetric WKB quantization formula

Particle in a self-dual monopole field: example of supersymmetric quantum mechanics

Supersymmetry and electron angular momentum

Parasupersymmetries and Lie superalgebras

Quantum chaos: Spectra and states

Quantum ergodicity and eigenvalue problems for plane polygons

“Classical” in terms of general statistical models

Temporal decoherence in Lorentz-squeezed hadrons

Physical significance of correlated and squeezed states

On the symmetry and dynamics of squeezed and correlated states

Correlated States of Quantum Chain

Interaction of weak coherent light with a system of two - level atoms in a lossless cavity

Time dependent quantum tunnelling

Non-spurious harmonic oscillator states with arbitrary permutational symmetry

Symmetry analysis of the qualitative intramolecular phenomena

Algebras of the SU(n) vector invariants and some of their applications

Product formulas for Q-representatives

Tensor products for affine Kac-Moody algebras

Atypical modules of the lie superalgebra <Emphasis Type="Italic">gl (m/n)</Emphasis>

Vector coherent state theory of the non-compact orthosymplectic superalgebras

The composition factors of kac modules of <Emphasis Type="Italic">sl(M/N)</Emphasis>

Clifford algebras, spinors and finite geometries

Reducibility of Euclidean motion groups

Software packages: Space groups and their representations

Software packages: Transformation coefficients for space groups

Icosahedral dissectable tilings from the root lattice D<Subscript>6</Subscript>

Groups with G-number parameters

Regge Calculus with torsion

Quasiperiodicity: Local and global aspects

Derivative Moufang transformations

On the explicit form of consistent anomalies

Berry phases and Wyckoff positions for energy bands in solids

Crystallography of quasicrystals: The problem of restoration of broken symmetry