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.

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Bibliographic Details
Corporate Author: AMS-IMS-SIAM Joint Summer Research Conference on Deformation Theory of Algebras and Quantization with Applications to Physics University of Massachusetts
Other Authors: Gerstenhaber, Murray, 1927- (Editor), Stasheff, James D. (Editor)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [1992]
Series:Contemporary mathematics (American Mathematical Society) ; 134.
Subjects:
Online Access:Click for online access
Table of Contents:
  • ""Contents""; ""Preface""; ""Hopf algebra actionsâ€?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))