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020 _a9780821877258 (online)
245 0 _aDeformation theory and quantum groups with applications to mathematical physics :
_bproceedings of a AMSIMSSIAM 1990 joint summer research conference held June 1420 at the University of Massachusetts, Amherst, with support from the National Science Foundation
260 _aProvidence, R.I. :
_bAmerican Mathematical Society,
_cc1992
300 _a1 online resource (viii, 377 p. : ill.)
490 _aContemporary mathematics
_vv. 134
_x10983627
500 _aThe 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.
504 _aIncludes bibliographical references.
505 _tHopf algebra actions revisited ; Linkdiagrams, YangBaxter 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
_\bf P^1(\bf C)
_ ; Quantum groups with two parameters ; Quantum grouptheoretic 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 ; 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
_U_q(\rm sl(2))
_ ; Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories ; Elementary paradigms of quantum algebras
_rMiriam 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
650 _aMathematical physics
650 _aPerturbation (Mathematics)
650 _aQuantum groups
700 _aGerstenhaber Murray
700 _aStasheff James D
856 _uhttp://www.ams.org/conm/134/
999 _c28551
_d28551