1.

Record Nr.

UNINA9910788640903321

Titolo

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

Pubbl/distr/stampa

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

©1992

ISBN

0-8218-7725-9

0-8218-5469-0

Descrizione fisica

1 online resource (388 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; 134

Disciplina

530.1/522

Soggetti

Quantum groups

Perturbation (Mathematics)

Mathematical physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"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"--T.p. verso.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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 groups""""Quantum 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))""

""Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories""""Elementary paradigms of quantum algebras""