Title | Quantum Groups [electronic resource] : Proceedings of Workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990 / edited by Petr P. Kulish |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1992 |
Connect to | http://dx.doi.org/10.1007/BFb0101174 |
Descript | XII, 408 p. online resource |
On some unsolved problems in quantum group theory -- Quantum symmetry -- Yang-Baxter equation and deformation of associative and Lie algebras -- Quantum G-spaces and Heisenberg algebra -- Real and imaginary forms of quantum groups -- Rank of quantum groups and braided groups in dual form -- Yangians of the โstrangeโ lie superalgebras -- Askey-wilson polynomials as spherical functions on SU q(2) -- Twisted yangians and infinite-dimensional classical Lie algebras -- Differential graded Lie algebras, quasi-hopf algebras and higher homotopy algebras -- Quantum deformation of the flag variety -- Zonal spherical functions on quantum symmetric spaces and MacDonald's symmetric polynomials -- Hidden quantum groups inside Kac-Moody algebras -- Liouville theory on the lattice and universal exchange algebra for bloch waves -- Non-local currents in 2D QFT: An alternative to the quantum inverse scattering method -- Induced representations and tensor operators for quantum groups -- Affine toda field theory: S-matrix vs perturbation -- Contractions of quantum groups -- New solutions of Yang-Baxter equations and quantum group structures -- Quantum group symmetry of 2D gravity -- Extended chiral conformal theories with a quantum symmetry -- Fusion rsos models and rational coset models -- Integrable time-discrete systems: Lattices and mappings -- On relations between poisson groups and quantum groups -- Characters of Hecke and Birman-Wenzl algebras -- Invariants of 3-Manifolds based on conformal field theory and Heegaard splitting -- The multi-variable alexander polynomial and a oneโparameter family of representations of U q (sl(2,C)) at q 2=?1 -- Preparation theorems for isotopy invariants of links in 3-manifolds -- Quantum invariants of 3-manifold and a glimpse of shadow topology -- Moves of triangulations of a PL-manifold -- Yang-Baxter relation, exactly solvable models and link polynomials -- Triangularity of transition matrices for generalized Hall-Littlewood polynomials -- An open problem in quantum groups -- Two problems in quantized algebras of functions -- Unsolved problems -- On classification of ?-graded Lie algebras of constant growth which have algebra ?[h] as Cartan subalgebra