Quantum Groups

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 review and compile the progress achieved in§the different subfields. Near 100 participants came from 14§countries. More than 20 contributions written up for this§book contain new, unpublished material and half of them§include a survey of recent results in the field (deformation§theory, graded differential algebras, contraction technique,§knot invariants, q-special functions).§FROM THE CONTENTS: V.G. Drinfeld: On Some Unsolved Problems§in Quantum Group Theory.- M. Gerstenhaber, A. Giaquinto,§S.D. Schack: Quantum Symmetry.- L.I. Korogodsky,L.L.§Vaksman: Quantum G-Spaces and Heisenberg Algebra.-J.§Stasheff: Differential Graded Lie Algebras, Quasi-Hopf§Algebras and Higher Homotopy Algebras.- A.Yu. Alekseev,§L.D. Faddeev, M.A. Semenov-Tian-Shansky: Hidden Quantum§Groups inside Kac-Moody Algebras.- J.-L. Gervais: Quantum§Group Symmetry of 2D Gravity.- T. Kohno: Invariants of§3-Manifolds Based on Conformal Field Theory and Heegaard§Splitting.- O. Viro: Moves of Triangulations of a§PL-Manifold.