Quantum groups : proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990 / P.P. Kulish (ed.).
Contributor(s): Kulish, P. P. (Petr P.)Material type: TextSeries: Lecture notes in mathematics (Springer-Verlag): 1510.Publisher: Berlin ; New York : Springer-Verlag, ©1992Description: 1 online resource (xii, 398 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540470205; 3540470204Subject(s): Quantum groups -- Congresses | Quantum field theory -- Congresses | Conformal invariants -- Congresses | Topology -- Congresses | Mathematical physics -- Congresses | Théorie quantique des champs | Invariants conformes | Topologie | Physique mathématique | Groupes quantiques | Conformal invariants | Mathematical physics | Quantum field theory | Quantum groups | Topology | Groepentheorie | Kwantummechanica | KwantumveldentheorieGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Quantum groups.DDC classification: 500 s | 530.1/43 LOC classification: QA3 | .L28 no. 1510 | QC20.7.G76Other classification: 31.81 | 33.23 | 33.06 Online resources: Click here to access online
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Includes bibliographical references.
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.
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 More than 20 contributions written up for this book contain new, unpublished material and half of them include a survey of recent results in the field (deformation theory, graded differential algebras, contraction technique, knot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.
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