Deformation theory and symplectic geometry : proceedings of the Ascona meeting, June 1996 / edited by Daniel Sternheimer, John Rawnsley, and Simone Gutt.

Colaborador(es): Sternheimer, Daniel [edt] | Rawnsley, John H. (John Howard), 1947- [edt] | Gutt, Simone [edt]Series Mathematical physics studies ; v. 20Editor: Dordrecht : Kluwer Academic Publishers, c1997Descripción: xiii, 361 p. : il. ; 25 cmISBN: 0792345258Tema(s): Quantum groups -- Congresses | Symplectic manifolds -- Congresses | Mathematical physics -- CongressesOtra clasificación: 58-06 (00B25) | 53D55 58B34 53Dxx
Contenidos:
Alain Connes, Noncommutative differential geometry and the structure of space timeLudwig Faddeev [L. D. Faddeev] and Alexander Volkov [A. Yu. Volkov], Shift operator for the discrete ${ rm SL}(2)$ current algebraMoshé Flato, Giuseppe Dito and Daniel Sternheimer, Nambu mechanics, $n$-ary operations and their quantizationJürg Fröhlich, The geometrization principleChristian Frønsdal, Generalization and deformations of quantum groupsMurray Gerstenhaber, Quantized intersection cardinalitiesSimone Gutt and John Rawnsley, Deformation quantization and ${ rm Mp}c$ structuresMichio Jimbo, Hitoshi Konno and Tetsuji Miwa, Massless $XXZ$ model and degeneration of the elliptic algebra $ scr A_{q,p}( widehat{ rm sl}_2)$Maxim Kontsevich [M. L. Kontsevich], Formality conjectureBertram Kostant, Quantum cohomology of the flag manifold as an algebra of rational functions on a unipotent algebraic groupOlivier Mathieu, Homologies associated with Poisson structuresAnthony Bloch, Mohamed Ould El Hadrami, Hermann Flaschka and Tudor S.  Ratiu, Maximal tori of some symplectomorphism groups and applications to convexityMichael Polyak and Nicolai Reshetikhin [N. Yu. Reshetikhin], On $2$D Yang-Mills theory and invariants of linksMarc Rosso, Some applications of quantum shufflesWilfried Schmid, Character formulas and localization of integralsJim Stasheff, Deformation theory and the Batalin-Vilkovisky master equationRyszard Nest and Boris Tsygan [B. L. Tsygan], The Fukaya type categories for associative algebrasAlan Weinstein, Tangential deformation quantization and polarized symplectic groupoidsMartin Bordemann and Stefan Waldmann, Formal GNS construction and WKB expansion in deformation quantizationJens Hoppe, On the deformation of time harmonic flowsAndré Lichnerowicz, Distinguished essential extensions of infinite-dimensional classical Lie algebrasHideki Omori, Yoshiaki Maeda, Naoya Miyazaki and Akira Yoshioka, Noncommutative contact algebrasShahn Majid, Braided geometry and the inductive construction of Lie algebras and quantum groupsCarlos Moreno [Carlos José Moreno] and Luis Valero, Star products in the triangular caseGiuseppe Dito, Aspetti fisici della teoria delle deformazioni.
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Incluye referencias bibliográficas.

Alain Connes, Noncommutative differential geometry and the structure of space time -- Ludwig Faddeev [L. D. Faddeev] and Alexander Volkov [A. Yu. Volkov], Shift operator for the discrete ${ rm SL}(2)$ current algebra -- Moshé Flato, Giuseppe Dito and Daniel Sternheimer, Nambu mechanics, $n$-ary operations and their quantization -- Jürg Fröhlich, The geometrization principle -- Christian Frønsdal, Generalization and deformations of quantum groups -- Murray Gerstenhaber, Quantized intersection cardinalities -- Simone Gutt and John Rawnsley, Deformation quantization and ${ rm Mp}c$ structures -- Michio Jimbo, Hitoshi Konno and Tetsuji Miwa, Massless $XXZ$ model and degeneration of the elliptic algebra $ scr A_{q,p}( widehat{ rm sl}_2)$ -- Maxim Kontsevich [M. L. Kontsevich], Formality conjecture -- Bertram Kostant, Quantum cohomology of the flag manifold as an algebra of rational functions on a unipotent algebraic group -- Olivier Mathieu, Homologies associated with Poisson structures -- Anthony Bloch, Mohamed Ould El Hadrami, Hermann Flaschka and Tudor S. Ratiu, Maximal tori of some symplectomorphism groups and applications to convexity -- Michael Polyak and Nicolai Reshetikhin [N. Yu. Reshetikhin], On $2$D Yang-Mills theory and invariants of links -- Marc Rosso, Some applications of quantum shuffles -- Wilfried Schmid, Character formulas and localization of integrals -- Jim Stasheff, Deformation theory and the Batalin-Vilkovisky master equation -- Ryszard Nest and Boris Tsygan [B. L. Tsygan], The Fukaya type categories for associative algebras -- Alan Weinstein, Tangential deformation quantization and polarized symplectic groupoids -- Martin Bordemann and Stefan Waldmann, Formal GNS construction and WKB expansion in deformation quantization -- Jens Hoppe, On the deformation of time harmonic flows -- André Lichnerowicz, Distinguished essential extensions of infinite-dimensional classical Lie algebras -- Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki and Akira Yoshioka, Noncommutative contact algebras -- Shahn Majid, Braided geometry and the inductive construction of Lie algebras and quantum groups -- Carlos Moreno [Carlos José Moreno] and Luis Valero, Star products in the triangular case -- Giuseppe Dito, Aspetti fisici della teoria delle deformazioni.

MR, 98e:58003

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