Deformation theory and quantum groups with applications to mathematical physics : [electronic resource] 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.

By:

AMS-IMS-SIAM Joint Summer Research Conference on Deformation Theory of Algebras and Quantization with Applications to Physics (1990 : University of Massachusetts)

Contributor(s):

Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 134.Publication details: Providence, R.I. : American Mathematical Society, c1992.Description: 1 online resource (viii, 377 p. : ill.)ISBN:

9780821877258 (online)

Subject(s):

Additional physical formats: Deformation theory and quantum groups with applications to mathematical physics :DDC classification:

530.1/522 20

LOC classification:

QC20.7.G76 A63 1990

Online resources:

Contents:

Hopf algebra actions -- revisited / Miriam Cohen -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187276 Link-diagrams, Yang-Baxter equations and quantum holonomy / Paolo Cotta-Ramusino and Maurizio Rinaldi -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187277 Duality and topology of $3$-manifolds / Louis Crane -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187278 Algebras, bialgebras, quantum groups, and algebraic deformations / Murray Gerstenhaber and Samuel D. Schack -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187279 Generalized Moyal quantization on homogeneous symplectic spaces / Jos�e M. Gracia-Bond�ia -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187280 A simple construction of bialgebra deformations / Robert Grossman and David Radford -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187281 Integrable deformations of meromorphic equations on ${\bf P}^1({\bf C})$ / G. F. Helminck -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187282 Quantum groups with two parameters / N. H. Jing -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187283 Quantum group-theoretic proof of the addition formula for continuous $q$-Legendre polynomials / H. T. Koelink -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187284 $q$-special functions, a tutorial / H. T. Koelink and T. H. Koornwinder -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187285 $q$-special functions and their occurrence in quantum groups / T. H. Koornwinder -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187286 Quantum flag and Schubert schemes / V. Lakshmibai and N. Reshetikhin -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187287 Homological perturbation theory, Hochschild homology, and formal groups / Larry A. Lambe -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187288 Tannaka-Kre�in theorem for quasi-Hopf algebras and other results / Shahn Majid -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187289 Simple Smash Products / Susan Montgomery -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/15 Quantum group of links in a handlebody / J�ozef H. Przytycki -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187291 Quantum Poisson ${\rm SU}(2)$ and quantum Poisson spheres / Albert Jeu-Liang Sheu -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187292 Deformation cohomology for bialgebras and quasi-bialgebras / Steven Shnider -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187293 Drinfeld's quasi-Hopf algebras and beyond / Jim Stasheff -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187294 Hopf algebra techniques applied to the quantum group $U_q({\rm sl}(2))$ / Mitsuhiro Takeuchi -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187295 Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories / David N. Yetter -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187296 Elementary paradigms of quantum algebras / Cosmas Zachos -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187297

Item type:

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IMSc Library			Link to resource	Available		EBK11416

"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.

Includes bibliographical references.

Hopf algebra actions -- revisited / Miriam Cohen -- Link-diagrams, Yang-Baxter equations and quantum holonomy / Paolo Cotta-Ramusino and Maurizio Rinaldi -- Duality and topology of $3$-manifolds / Louis Crane -- Algebras, bialgebras, quantum groups, and algebraic deformations / Murray Gerstenhaber and Samuel D. Schack -- Generalized Moyal quantization on homogeneous symplectic spaces / Jos�e M. Gracia-Bond�ia -- A simple construction of bialgebra deformations / Robert Grossman and David Radford -- Integrable deformations of meromorphic equations on ${\bf P}^1({\bf C})$ / G. F. Helminck -- Quantum groups with two parameters / N. H. Jing -- Quantum group-theoretic proof of the addition formula for continuous $q$-Legendre polynomials / H. T. Koelink -- $q$-special functions, a tutorial / H. T. Koelink and T. H. Koornwinder -- $q$-special functions and their occurrence in quantum groups / T. H. Koornwinder -- Quantum flag and Schubert schemes / V. Lakshmibai and N. Reshetikhin -- Homological perturbation theory, Hochschild homology, and formal groups / Larry A. Lambe -- Tannaka-Kre�in theorem for quasi-Hopf algebras and other results / Shahn Majid -- Simple Smash Products / Susan Montgomery -- Quantum group of links in a handlebody / J�ozef H. Przytycki -- Quantum Poisson ${\rm SU}(2)$ and quantum Poisson spheres / Albert Jeu-Liang Sheu -- Deformation cohomology for bialgebras and quasi-bialgebras / Steven Shnider -- Drinfeld's quasi-Hopf algebras and beyond / Jim Stasheff -- Hopf algebra techniques applied to the quantum group $U_q({\rm sl}(2))$ / Mitsuhiro Takeuchi -- Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories / David N. Yetter -- Elementary paradigms of quantum algebras / Cosmas Zachos --