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Thu Oct 16 17:54:01 2014 UTClccn-n822130030.47Singularities of differentiable maps0.790.98Pochemu granit︠s︡a krugloĭ kapli prevrashchaetsi︠a︡ v inversnyĭ obraz ėllipsa /202543066n 82213003872005Varčenko, A. N.Varchenko, A.Varchenko, A.N.Varchenko, A. N. 1949-Varchenko, Aleksandr 1949-Varchenko, Aleksandr Nikolaevich.Varchenko, Aleksandr Nikolaevich 1949-Varchenko, Alexander.Varchenko, Alexander 1949-lccn-n81037438Arnolʹd, V. I.(Vladimir Igorevich)1937-2010edtlccn-n82213002Guseĭn-Zade, S. M.(Sabir Medzhidovich)lccn-n91015326Khovanskiĭ, A. G.lccn-n85326075Vasilʹev, V. A.1956-lccn-n92059577Etingof, P. I.(Pavel I.)1969-lccn-no99003289Tarasov, V.(V. O.)viaf-22272085Gusejn-Zade, Sabir Medžidovičnp-gusein zade, s m$sabir medzhidovichGuseĭn-Zade, S. M.(Sabir Medzhidovich)lccn-nr88011571Kotli︠a︡r, V. S.(Vladimir Semenovich)np-givental, a bGiventalʹ, A. B.Varchenko, A. N.(Aleksandr Nikolaevich)Conference proceedingsBibliographySingularities (Mathematics)Differentiable mappingsHypergeometric functionsArnolʹd, V. I.--(Vladimir Igorevich),Knizhnik-Zamolodchikov equationsFunctions, SpecialRepresentations of groupsBoundary value problemsFluid dynamics--Mathematical modelsCurves, EllipticTopologyDifferential equationsGeometry, DifferentialRepresentations of Lie algebrasRepresentations of quantum groupsKac-Moody algebrasAffine algebraic groupsQuantum groupsCatastrophes (Mathematics)Differential algebraMathematics19491982198419851986198719881990199119921995199719982003200420062011201220132014240753132514.72QA614.58ocn181656035ocn761059086ocn44121276245231ocn010825307book19840.77Arnolʹd, V. ISingularities of differentiable maps+-+42368126352763ocn794177587file20120.70Arnolʹd, V. ISingularities of differentiable maps2722ocn794672449file20120.70Arnolʹd, V. ISingularities of differentiable maps2234ocn053331071book20030.90Varchenko, A. NSpecial functions, KZ type equations, and representation theoryConference proceedings+-+82137367352008ocn026094868book19920.88Varchenko, A. NWhy the boundary of a round drop becomes a curve of order four1956ocn039729573book19980.82Geometry of differential equations+-+99456367351905ocn037376781book19970.84Topics in singularity theory : V.I. Arnold's 60th anniversary collectionConference proceedings1586ocn032692934book19950.90Varchenko, A. NMultidimensional hypergeometric functions and representation theory of Lie algebras and quantum groupsThis book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with the Lie algebra. It turns out that this phenomenon is the tip of the iceberg. The Knizhnik-Zamolodchikov differential equation is solved in multidimensional hypergeometric functions, and the hypergeometric functions yield the connection between the representation theories of Lie algebras and quantum groups. The topics presented in this book are not adequately covered in periodicals1323ocn040309510book19970.92Tarasov, VGeometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups415ocn028955992book19850.47Arnolʹd, V. ISingularities of differentiable maps+-+4236812635382ocn027191330book19860.47Arnolʹd, V. IClassification des points critiques, des caustiques et des fronts d'onde381ocn706409925book20120.88Arnolʹd, V. ISingularities of functions, wave fronts, caustics and multidimensional integralsBibliography372ocn027191376book19860.47Arnolʹd, V. IMonodromie et comportement asymptotique des intégrales212ocn010506757book0.97Arnolʹd, V. IOsobennosti different︠s︡iruemykh otobrazheniĭ161ocn165800840book19850.47Arnol·d, Vladimir ISingularities of differentiable maps+-+4236812635101ocn025975778visu19900.95Varchenko, A. NMultidimensional hypergeometric functions and their appearance in conformal field theory, algebraic k-theory, algebraic geometry, etc101ocn847132966file19950.47Varchenko, A. NMULTIDIMENSIONAL HYPERGEOMETRIC FUNCTIONS THE REPRESENTATION THEORY OF LIE ALGEBRAS AND QUANTUM GROUPSThis book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with the Lie algebra. It turns out that this phenomenon is the tip of the iceberg. The Knizhnik-Zamolodchikov differential equation is solved in multidimens92ocn038065783book19950.98Varchenko, A. NPochemu granit︠s︡a krugloĭ kapli prevrashchaetsi︠a︡ v inversnyĭ obraz ėllipsa71ocn011522334book19840.77Arnolʹd, V. IOsobennosti different︠s︡iruemykh otobrazheniĭ : monodromii︠a︡ i asimptotiki integralov63ocn875442038book19860.53Arnolʹd, V. ISingularités des applications différentiables+-+4236812635+-+4236812635Thu Oct 16 15:16:24 EDT 2014batch12100