| Acknowledgements | |
| Preface | |
| Quantum Symmetry in Quantum Theory | p. 3 |
| Quantum Symmetry Associated with Braid Group Statistics | p. 14 |
| Braid Invariant Chiral Conformal Models with a Quantum Symmetry | p. 24 |
| Quantum Group Applications in Quantum Optics | p. 41 |
| Quantum Groups and Quantum Algebras as Symmetries of Dynamical Systems | p. 51 |
| The Pokrovski-Talapov Phase Transition and Quantum Groups | p. 75 |
| Plancherel Formula and Critical Spectral Behaviour of the Infinite XXZ Chain | p. 84 |
| On the Integrability Problem of the Continuous Long Wave Approximation of the Toda Lattice | p. 99 |
| Poisson Space-Time Symmetry and Corresponding Elementary Systems | p. 111 |
| New Lie-Algebraic Structures in Quantum Many Body Physics | p. 124 |
| Realizations and Real Forms of Quantum Groups in 2 Dimensions | p. 135 |
| Quantum Vectors and Quantum Matrices | p. 147 |
| Non-Commutative Differential Calculus with Quantum Group Symmetry | p. 163 |
| A Covariant Differential Calculus on the "Quantum Group" [actual symbol not reproducible] | p. 174 |
| Differential Calculus on Quantum Groups | p. 184 |
| The Construction of Representations for the U[subscript q](n) Quantum Group | p. 189 |
| IU(n)[subscript q]: q-Deformation of Inhomogeneous Unitary Algebras | p. 203 |
| Irreducible Representations of the SU[subscript q](3) Quantum Algebra: The Connection between U and T Bases | p. 223 |
| Adjoint "Extremal Projectors" and Indecomposable Representations for U[subscript q](Sl(2, C)) | p. 229 |
| Creation-Annihilation Operators for Co- and Contra-Variant Tensors in Quantum Wigner-Racah Algebras su[subscript q](2) | p. 246 |
| Coherent States of the Quantum Algebra su[subscript q](2) | p. 250 |
| Quantum Contractions | p. 254 |
| Serre Type Presentation of Special Linear Lie Superalgebras | p. 259 |
| Representations of Quantum Algebras and q-Special Functions | p. 264 |
| q-Deformations of Noncompact Lie (Super-) Algebras: the Examples of q-Deformed Lorentz, Weyl, Poincare and (Super-) Conformal Algebras | p. 287 |
| Quantum Deformations of D = 4 Poincare and Conformal Algebras | p. 304 |
| R-Matrices from Quantization of Non Semisimple Lie Algebras | p. 327 |
| The Cartan-Weyl Basis and the Universal R-Matrix for Quantum Kac-Moody Algebras and Superalgebras | p. 336 |
| On the q-Sugawara Construction for the Virasoro (Super) Algebra | p. 352 |
| Deformations of Universal Enveloping Algebras | p. 366 |
| Classical Pairing and Quantum Group Duality | p. 373 |
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