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 More than 20 contributions written up for this book contain new, unpublished material and half of them include a survey of recent results in the field (deformation theory, graded differential algebras, contraction technique, knot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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The theory of quantum groups is a rapidly developing area with numerous applications in mathematics and theoretical physics, for example in link and knot invariants in topology, q-special functions and conformal field theory. This text reviews developments in these, and other subfields.
"About this title" may belong to another edition of this title.
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The theory of Quantum Groups is a rapidly developing areawith numerous applications in mathematics and theoreticalphysics, e.g. in link and knot invariants in topology,q-special functions, conformal field theory, quantumintegrable models. The aim of the Euler Institute'sworkshops was to review and compile the progress achieved inthe different subfields. Near 100 participants came from 14countries. More than 20 contributions written up for thisbook contain new, unpublished material and half of theminclude a survey of recent results in the field (deformationtheory, graded differential algebras, contraction technique,knot invariants, q-special functions).FROM THE CONTENTS: V.G. Drinfeld: On Some Unsolved Problemsin 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-HopfAlgebras and Higher Homotopy Algebras.- A.Yu. Alekseev,L.D. Faddeev, M.A. Semenov-Tian-Shansky: Hidden QuantumGroups inside Kac-Moody Algebras.- J.-L. Gervais: QuantumGroup Symmetry of 2D Gravity.- T. Kohno: Invariants of3-Manifolds Based on Conformal Field Theory and HeegaardSplitting.- O. Viro: Moves of Triangulations of aPL-Manifold. 420 pp. Englisch. Seller Inventory # 9783540553052
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The theory of Quantum Groups is a rapidly developing areawith numerous applications in mathematics and theoreticalphysics, e.g. in link and knot invariants in topologyq-special functions, conformal field theory, quantumintegrable models. The aim of the Euler Institute'sworkshops was to review and compile the progress achieved inthe different subfields. Near 100 participants came from 14countries. More than 20 contributions written up for thisbook contain new, unpublished material and half of theminclude a survey of recent results in the field (deformationtheory, graded differential algebras, contraction techniqueknot invariants, q-special functions).FROM THE CONTENTS: V.G. Drinfeld: On Some Unsolved Problemsin Quantum Group Theory.- M. Gerstenhaber, A. GiaquintoS.D. Schack: Quantum Symmetry.- L.I. Korogodsky,L.L.Vaksman: Quantum G-Spaces and Heisenberg Algebra.-J.Stasheff: Differential Graded Lie Algebras, Quasi-HopfAlgebras and Higher Homotopy Algebras.- A.Yu. AlekseevL.D. Faddeev, M.A. Semenov-Tian-Shansky: Hidden QuantumGroups inside Kac-Moody Algebras.- J.-L. Gervais: QuantumGroup Symmetry of 2D Gravity.- T. Kohno: Invariants of3-Manifolds Based on Conformal Field Theory and HeegaardSplitting.- O. Viro: Moves of Triangulations of aPL-Manifold.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 420 pp. Englisch. Seller Inventory # 9783540553052