Quantum Groups Proceedings of Workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990
The theory of Quantum Groups is a rapidly developing area with numerous applications in mathematics and theoretical physics, e.g. in link and knot invariants in topology, q-special functions, conformal field theory, quantum integrable models. The aim of the Euler Institute's workshops was to re...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1992, 1992
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| Edition: | 1st ed. 1992 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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 “strange” 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 one—parameter 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 triangulationsof 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