Title Deformation theory and quantum groups with applications to mathematical physics : proceedings of a AMS-IMS-SIAM 1990 Joint Summer Research Conference held June 14-20 at the University of Massachusetts, Amherst, with support from the National Science Foundation / Murray Gerstenhaber, Jim Stasheff, editors

Published Providence, Rhode Island : American Mathematical Society, [1992] ©1992

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Description 1 online resource (388 pages) : illustrations Series Contemporary mathematics, 0271-4132 ; 134 Contemporary mathematics (American Mathematical Society) ; 134. Contents ""Contents""; ""Preface""; ""Hopf algebra actions�revisited""; ""Link-diagrams, Yang Baxter equations, and quantum holonomy""; ""Duality and topology of 3-manifolds""; ""Algebras, bialgebras, quantum groups, and algebraic deformations""; ""Generalized Moyal quantization on homogeneous symplectic spaces""; ""A simple construction of bialgebra deformations""; ""Integrable deformations of meromorphic equations on P1 (C)""; ""Quantum groups with two parameters""; ""Quantum group theoretic proof of the addition formula for continuous q-Legendre polynomials""; ""q-special functions, a tutorial"" Q-special functions and their occurrence in quantum groupsQuantum flag and Schubert schemes -- Homological perturbation theory, Hochschild homology, and formal groups -- Tannaka-Krein theorem for quasi-Hopf algebras and other results -- Simple smash products -- Quantum group of links in a handlebody -- Quantum Poisson SU (2) and quantum Poisson spheres -- Deformation cohomology for bialgebras and quasi-bialgebras -- Drinfel'd's quasi-Hopf algebras and beyond -- Hopf algebra techniques applied to the quantum group Uq(s/(2)) Notes "The AMS-IMS-SIAM 1990 Joint Summer Research Conference on Deformation Theory of Algebras and Quantization with Applications to Physics was held June 14-20, 1990 at the University of Massachusetts, Amherst, Massachusetts"--Title page verso Bibliography Includes bibliographical references Notes English Print version record Subject Quantum groups -- Congresses Perturbation (Mathematics) -- Congresses Mathematical physics -- Congresses Mathematical physics Perturbation (Mathematics) Quantum groups Genre/Form Conference papers and proceedings Form Electronic book Author Gerstenhaber, Murray, 1927- editor. Stasheff, James D., editor American Mathematical Society, issuing body Institute of Mathematical Statistics, issuing body. Society for Industrial and Applied Mathematics, issuing body. ISBN 9780821877258 0821877259 0821854690 9780821854693

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