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• catalog abstract "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 More than 20 contributions written up for this book contain new, unpublished material and half of them include a survey of recent results in the field (deformation theory, graded differential algebras, contraction technique, knot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.".
• catalog contributor b3663094.
• catalog created "1992.".
• catalog date "1992".
• catalog date "1992.".
• catalog dateCopyrighted "1992.".
• catalog description "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.".
• catalog description "Includes bibliographical references.".
• catalog 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.".
• catalog extent "xii, 398 p. :".
• catalog hasFormat "Quantum groups.".
• catalog identifier "0387553053 (New York)".
• catalog identifier "3540553053 (Berlin) :".
• catalog isFormatOf "Quantum groups.".
• catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1510".
• catalog isPartOf "Lecture notes in mathematics ; 1510".
• catalog issued "1992".
• catalog issued "1992.".
• catalog language "eng".
• catalog publisher "Berlin : New York : Springer,".
• catalog relation "Quantum groups.".
• catalog subject "500 s 530.1/43 20".
• catalog subject "Conformal invariants Congresses.".
• catalog subject "Mathematical physics Congresses.".
• catalog subject "Mathematics.".
• catalog subject "QA3 .L28 no. 1510 QC20.7.G76".
• catalog subject "Quantum computing.".
• catalog subject "Quantum field theory Congresses.".
• catalog subject "Quantum groups Congresses.".
• catalog subject "Quantum theory.".
• catalog subject "Topological Groups.".
• catalog subject "Topology Congresses.".
• catalog subject "Topology.".
• catalog tableOfContents "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.".
• catalog title "Quantum groups : proceedings of a workshop held in the Euler International Mathematical Institute, Leningrad, Fall 1990 / P.P. Kulish (ed.)".
• catalog type "Conference proceedings. fast".
• catalog type "text".