WorldCat Identities

Varchenko, A. N. (Aleksandr Nikolaevich)

Overview
Works: 55 works in 143 publications in 4 languages and 2,486 library holdings
Genres: Conference proceedings  Bibliography 
Roles: Author, Editor, Thesis advisor
Classifications: QA613.64, 514.72
Publication Timeline
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Most widely held works by A. N Varchenko
Singularities of differentiable maps by V. I Arnolʹd( Book )
32 editions published between 1984 and 2012 in 3 languages and held by 456 WorldCat member libraries worldwide
Singularities of differentiable maps by V. I Arnolʹd( )
3 editions published in 2012 in English and held by 288 WorldCat member libraries worldwide
Singularities of differentiable maps by V. I Arnolʹd( )
2 editions published in 2012 in English and held by 281 WorldCat member libraries worldwide
Special functions, KZ type equations, and representation theory by A. N Varchenko( Book )
5 editions published between 2003 and 2004 in English and held by 225 WorldCat member libraries worldwide
Why the boundary of a round drop becomes a curve of order four by A. N Varchenko( Book )
8 editions published between 1992 and 2004 in English and held by 202 WorldCat member libraries worldwide
Geometry of differential equations ( Book )
6 editions published in 1998 in English and held by 196 WorldCat member libraries worldwide
Topics in singularity theory : V.I. Arnold's 60th anniversary collection ( Book )
5 editions published in 1997 in English and held by 191 WorldCat member libraries worldwide
Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups by A. N Varchenko( Book )
6 editions published in 1995 in English and held by 163 WorldCat member libraries worldwide
This 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 periodicals
Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups by V Tarasov( Book )
3 editions published in 1997 in English and held by 133 WorldCat member libraries worldwide
Singularities of differentiable maps by V. I Arnolʹd( Book )
5 editions published in 1985 in English and held by 42 WorldCat member libraries worldwide
Classification des points critiques, des caustiques et des fronts d'onde by V. I Arnolʹd( Book )
2 editions published in 1986 in French and held by 38 WorldCat member libraries worldwide
Singularities of functions, wave fronts, caustics and multidimensional integrals by V. I Arnolʹd( Book )
1 edition published in 2012 in English and held by 38 WorldCat member libraries worldwide
Monodromie et comportement asymptotique des intégrales by V. I Arnolʹd( Book )
2 editions published in 1986 in French and held by 36 WorldCat member libraries worldwide
Collected works by V. I Arnolʹd( )
1 edition published in 2014 in English and held by 29 WorldCat member libraries worldwide
Osobennosti different︠s︡iruemykh otobrazheniĭ by V. I Arnolʹd( Book )
in Russian and held by 22 WorldCat member libraries worldwide
Singularities of differentiable maps by Vladimir I Arnol·d( Book )
1 edition published in 1985 in English and held by 16 WorldCat member libraries worldwide
Multidimensional hypergeometric functions and their appearance in conformal field theory, algebraic k-theory, algebraic geometry, etc by A. N Varchenko( Visual )
2 editions published in 1990 in English and held by 11 WorldCat member libraries worldwide
MULTIDIMENSIONAL HYPERGEOMETRIC FUNCTIONS THE REPRESENTATION THEORY OF LIE ALGEBRAS AND QUANTUM GROUPS by A. N Varchenko( )
2 editions published in 1995 in English and held by 11 WorldCat member libraries worldwide
This 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 multidimens
Pochemu granit︠s︡a krugloĭ kapli prevrashchaetsi︠a︡ v inversnyĭ obraz ėllipsa by A. N Varchenko( Book )
2 editions published in 1995 in Russian and held by 9 WorldCat member libraries worldwide
Hydrodynamics, bifurcation theory, and algebraic geometry, 1965-1972 by V. I Arnolʹd( )
1 edition published in 2013 in English and held by 9 WorldCat member libraries worldwide
This book features the collected works of Vladimir Arnold, one of the great mathematical scientists of our time. This volume focuses on hydrodynamics, bifurcation theory, and algebraic geometry
 
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Audience Level
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Audience level: 0.77 (from 0.33 for Hydrodynam ... to 0.98 for Pochemu gr ...)
Alternative Names
Varčenko, A. N.
Varčenko, Aleksandr Nikolaevič
Varchenko, A.
Varchenko, A.N.
Varchenko, A. N. 1949-
Varchenko, Aleksandr 1949-
Varchenko, Aleksandr Nikolaevich.
Varchenko, Aleksandr Nikolaevich 1949-
Varchenko, Alexander.
Varchenko, Alexander 1949-
Varchenko, Alexandre Nikolaevich
Languages
English (81)
Russian (4)
French (4)
German (1)
Covers