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book contain new, unpublished material and half of them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.