Quantum groups
Subtitle: proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990
By: P.P. Kulish (ed.).
Contributors: Kulish, P. P. 1944-
Series: Lecture notes in mathematics ;; 1510; Lecture notes in mathematics (Springer-Verlag) ;; 1510.
Publisher: Springer-Verlag
Published: 1992
Place of publication: Berlin; New York
Language: eng
Number of pages: 398
Subjects: Quantum groups -- Congresses.; Quantum field theory -- Congresses.; Conformal invariants -- Congresses.; Topology -- Congresses.; Mathematical physics -- Congresses.
Description: 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 More than 20 contributions written up for this book contain new, unpublished material and half of them include a survey of recent results in the field (deformation theory, graded differential algebras, contraction technique, knot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.
Notes: Includes bibliographical references.
"Subseries: LOMI and Euler International Mathematical Institute, St. Petersburg"--Ser. t.p.