Deformation theory and quantum groups with applications to mathematical physics : proceedings of a AMSIMSSIAM 1990 joint summer research conference held June 1420 at the University of Massachusetts, Amherst, with support from the National Science Foundation

Contributor(s): Gerstenhaber Murray | Stasheff James DMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 134Publication details: Providence, R.I. : American Mathematical Society, c1992Description: 1 online resource (viii, 377 p. : ill.)ISBN: 9780821877258 (online)Subject(s): Mathematical physics | Perturbation (Mathematics) | Quantum groupsOnline resources: Click here to access online
Contents:
Hopf algebra actions revisited ; Linkdiagrams, YangBaxter equations and quantum holonomy ; Duality and topology of Miriam Cohen ; Paolo CottaRamusino and Maurizio Rinaldi ; Louis Crane ; Murray Gerstenhaber and Samuel D Schack ; Jose M GraciaBondia ; Robert Grossman and David Radford ; G F Helminck ; N H Jing ; H T Koelink ; H T Koelink and T H Koornwinder ; T H Koornwinder ; V Lakshmibai and N Reshetikhin ; Larry A Lambe ; Shahn Majid ; Susan Montgomery ; Jozef H Przytycki ; Albert JeuLiang Sheu ; Steven Shnider ; Jim Stasheff ; Mitsuhiro Takeuchi ; David N Yetter ; Cosmas Zachos
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The AMSIMSSIAM 1990 Joint Summer Research Conference on Deformation Theory of Algebras and Quantization with Applications to Physics was held June 1420, 1990 at the University of Massachusetts, Amherst, MassachusettsT.p. verso.

Includes bibliographical references.

Hopf algebra actions revisited ; Linkdiagrams, YangBaxter equations and quantum holonomy ; Duality and topology of anifolds ; 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 bf P^1(\bf C) ; Quantum groups with two parameters ; Quantum grouptheoretic proof of the addition formula for continuous egendre polynomials ; pecial functions, a tutorial ; pecial functions and their occurrence in quantum groups ; Quantum flag and Schubert schemes ; Homological perturbation theory, Hochschild homology, and formal groups ; TannakaKrein theorem for quasiHopf algebras and other results ; Simple Smash Products ; Quantum group of links in a handlebody ; Quantum Poisson rm SU(2) and quantum Poisson spheres ; Deformation cohomology for bialgebras and quasibialgebras ; Drinfeld's quasiHopf algebras and beyond ; Hopf algebra techniques applied to the quantum group _q(\rm sl(2)) ; Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories ; Elementary paradigms of quantum algebras Miriam Cohen ; Paolo CottaRamusino and Maurizio Rinaldi ; Louis Crane ; Murray Gerstenhaber and Samuel D Schack ; Jose M GraciaBondia ; Robert Grossman and David Radford ; G F Helminck ; N H Jing ; H T Koelink ; H T Koelink and T H Koornwinder ; T H Koornwinder ; V Lakshmibai and N Reshetikhin ; Larry A Lambe ; Shahn Majid ; Susan Montgomery ; Jozef H Przytycki ; Albert JeuLiang Sheu ; Steven Shnider ; Jim Stasheff ; Mitsuhiro Takeuchi ; David N Yetter ; Cosmas Zachos