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 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book contain new, unpublished material and half of them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.