AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Deformation Theory and Quantum Groups with Applications to Mathematical Physics
About this Title
Murray Gerstenhaber and Jim Stasheff, Editors
Publication: Contemporary Mathematics
Publication Year:
1992; Volume 134
ISBNs: 978-0-8218-5141-8 (print); 978-0-8218-7725-8 (online)
DOI: https://doi.org/10.1090/conm/134
MathSciNet review: 1187275
ReadershipTable of Contents
Download chapters as PDF
Front/Back Matter
Articles
- Miriam Cohen – Hopf algebra actions—revisited [MR 1187276]
- Paolo Cotta-Ramusino and Maurizio Rinaldi – Link-diagrams, Yang-Baxter equations and quantum holonomy [MR 1187277]
- Louis Crane – Duality and topology of $3$-manifolds [MR 1187278]
- Murray Gerstenhaber and Samuel D. Schack – Algebras, bialgebras, quantum groups, and algebraic deformations [MR 1187279]
- José M. Gracia-Bondía – Generalized Moyal quantization on homogeneous symplectic spaces [MR 1187280]
- Robert Grossman and David Radford – A simple construction of bialgebra deformations [MR 1187281]
- G. F. Helminck – Integrable deformations of meromorphic equations on $\textbf {P}^1(\textbf {C})$ [MR 1187282]
- N. H. Jing – Quantum groups with two parameters [MR 1187283]
- H. T. Koelink – Quantum group-theoretic proof of the addition formula for continuous $q$-Legendre polynomials [MR 1187284]
- H. T. Koelink and T. H. Koornwinder – $q$-special functions, a tutorial [MR 1187285]
- T. H. Koornwinder – $q$-special functions and their occurrence in quantum groups [MR 1187286]
- V. Lakshmibai and N. Reshetikhin – Quantum flag and Schubert schemes [MR 1187287]
- Larry A. Lambe – Homological perturbation theory, Hochschild homology, and formal groups [MR 1187288]
- Shahn Majid – Tannaka-Kreĭn theorem for quasi-Hopf algebras and other results [MR 1187289]
- Susan Montgomery – Simple Smash Products
- Józef H. Przytycki – Quantum group of links in a handlebody [MR 1187291]
- Albert Jeu-Liang Sheu – Quantum Poisson $\textrm {SU}(2)$ and quantum Poisson spheres [MR 1187292]
- Steven Shnider – Deformation cohomology for bialgebras and quasi-bialgebras [MR 1187293]
- Jim Stasheff – Drinfel′d’s quasi-Hopf algebras and beyond [MR 1187294]
- Mitsuhiro Takeuchi – Hopf algebra techniques applied to the quantum group $U_q(\textrm {sl}(2))$ [MR 1187295]
- David N. Yetter – Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories [MR 1187296]
- Cosmas Zachos – Elementary paradigms of quantum algebras [MR 1187297]