Frenkel, Edward 1968
Overview
Works:  21 works in 76 publications in 4 languages and 2,579 library holdings 

Genres:  Miscellanea Biography Conference proceedings Drama 
Roles:  Author 
Classifications:  QA29.F725, 510.92 
Publication Timeline
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Most widely held works about
Edward Frenkel
 Love and math : the heart of hidden reality by Edward Frenkel Edward Frenkel( Book )
 Love and math the heart of all things by Edward Frenkel Edward Frenkel( )
 Love and math : the heart of hidden reality by Edward Frenkel Edward Frenkel( )
 Liebe und Mathematik Im Herzen einer verborgenen Wirklichkeit by Edward Frenkel Edward Frenkel( )
Most widely held works by
Edward Frenkel
Vertex algebras and algebraic curves
by
Edward Frenkel(
Book
)
17 editions published between 2001 and 2004 in English and held by 562 WorldCat member libraries worldwide
17 editions published between 2001 and 2004 in English and held by 562 WorldCat member libraries worldwide
Langlands correspondence for loop groups
by
Edward Frenkel(
Book
)
9 editions published between 2007 and 2010 in English and Spanish and held by 222 WorldCat member libraries worldwide
9 editions published between 2007 and 2010 in English and Spanish and held by 222 WorldCat member libraries worldwide
Representation theory and complex analysis lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 1017, 2004
by
M Cowling(
)
4 editions published in 2008 in English and held by 33 WorldCat member libraries worldwide
4 editions published in 2008 in English and held by 33 WorldCat member libraries worldwide
Liebe und Mathematik Im Herzen einer verborgenen Wirklichkeit
by
Edward Frenkel(
)
5 editions published in 2014 in German and held by 29 WorldCat member libraries worldwide
5 editions published in 2014 in German and held by 29 WorldCat member libraries worldwide
Love and math : the heart of hidden reality
by
Edward Frenkel(
Book
)
9 editions published in 2013 in English and held by 25 WorldCat member libraries worldwide
Growing up in Russia, mathematician Edward Frenkel was denied entrance to university to study mathematics because he was Jewish. Yet with the help of his mentors he circumvented the system to become one of the twentyfirst century's leading mathematicians. Frenkel now works on one of the biggest ideas to come out of mathematics in the last 50 years: the Langlands Program, considered by many to be a Grand Unified Theory of Mathematics. Love and Math tells the two intertwined stories of amazing mathematics and the adventure of one young man in learning it. At its core it is a story a
9 editions published in 2013 in English and held by 25 WorldCat member libraries worldwide
Growing up in Russia, mathematician Edward Frenkel was denied entrance to university to study mathematics because he was Jewish. Yet with the help of his mentors he circumvented the system to become one of the twentyfirst century's leading mathematicians. Frenkel now works on one of the biggest ideas to come out of mathematics in the last 50 years: the Langlands Program, considered by many to be a Grand Unified Theory of Mathematics. Love and Math tells the two intertwined stories of amazing mathematics and the adventure of one young man in learning it. At its core it is a story a
Integrable systems and quantum groups lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 1422, 1995
by
Ron Donagi(
Book
)
1 edition published in 1996 in English and held by 13 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 13 WorldCat member libraries worldwide
Central extensions of reductive groups by K₂
by
J.L Brylinski(
Book
)
4 editions published in 2001 in English and held by 9 WorldCat member libraries worldwide
4 editions published in 2001 in English and held by 9 WorldCat member libraries worldwide
Integrable systems and quantum groups : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 1422, 1993
by
Ron Donagi(
Book
)
2 editions published in 1996 in English and held by 6 WorldCat member libraries worldwide
The aim of this CIME Session was to review the state of the art in the recent development of the theory of integrable systems and their relations with quantum groups. The purpose was to gather geometers and mathematical physicists to allow a broader and more complete view of these attractive and rapidly developing fields. The papers contained in this volume have at the same time the character of survey articles and of research papers, since they contain both a survey of current problems and a number of original contributions to the subject
2 editions published in 1996 in English and held by 6 WorldCat member libraries worldwide
The aim of this CIME Session was to review the state of the art in the recent development of the theory of integrable systems and their relations with quantum groups. The purpose was to gather geometers and mathematical physicists to allow a broader and more complete view of these attractive and rapidly developing fields. The papers contained in this volume have at the same time the character of survey articles and of research papers, since they contain both a survey of current problems and a number of original contributions to the subject
Central extensions of reductive groups by K 2. Spectral curves, opers and integrable systems / by David BenZvi and Edward Frenkel [u.a.]
by
J.L Brylinski(
Book
)
1 edition published in 2001 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 5 WorldCat member libraries worldwide
Affine KacMoody algebras at the critical level and Gelfand Dikii algebras
by
Boris L Feigin(
Book
)
3 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
Abstract: "We prove Drinfeld's conjecture that the center of a certain completion of the universal enveloping algebra of an affine Kac Moody algebra at the critical level is isomorphic to the GelfandDikii algebra, associated to the Langlands dual algebra. The center is identified with a limit of the Walgebra, defined by means of the quantum DrinfeldSokolov reduction."
3 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
Abstract: "We prove Drinfeld's conjecture that the center of a certain completion of the universal enveloping algebra of an affine Kac Moody algebra at the critical level is isomorphic to the GelfandDikii algebra, associated to the Langlands dual algebra. The center is identified with a limit of the Walgebra, defined by means of the quantum DrinfeldSokolov reduction."
Quantum Walgebras and elliptic algebras
by
Boris L Feigin(
Book
)
1 edition published in 1995 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We define a quantum Walgebra associated to sl[subscript N] as an associative algebra depending on two parameters. For special values of the parameters it becomes the ordinary Walgebra of sl[subscript N], or the qdeformed classical Walgebra of sl[subscript N]. We construct free field realizations of the quantum Walgebras and the screening currents. We also point out some interesting elliptic structures arising in these algebras. In particular, we show that the screening currents satisfy elliptic analogues of the Drinfeld relations in U[subscript q](n̂)."
1 edition published in 1995 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We define a quantum Walgebra associated to sl[subscript N] as an associative algebra depending on two parameters. For special values of the parameters it becomes the ordinary Walgebra of sl[subscript N], or the qdeformed classical Walgebra of sl[subscript N]. We construct free field realizations of the quantum Walgebras and the screening currents. We also point out some interesting elliptic structures arising in these algebras. In particular, we show that the screening currents satisfy elliptic analogues of the Drinfeld relations in U[subscript q](n̂)."
Affine KacMoody algebras at the critical level and quantum DrinfeldSokolov reduction
by
Edward Frenkel(
)
2 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
The twobody problem : a screenplay
by
Thomas Farber(
Book
)
2 editions published between 2010 and 2012 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 2010 and 2012 in English and held by 3 WorldCat member libraries worldwide
Amore e matematica : il cuore della realtà nascosta
by
Edward Frenkel(
Book
)
2 editions published in 2014 in Italian and held by 3 WorldCat member libraries worldwide
2 editions published in 2014 in Italian and held by 3 WorldCat member libraries worldwide
Rites of love and math is there a mathematical formula of love without death?
(
Visual
)
1 edition published in 2010 in English and held by 2 WorldCat member libraries worldwide
Mathematics is first and foremost pursuit of absolute truth and beauty. This is the story of a mathematician who has found, after many years of hard work, the ultimate formula of love. At first, he was thrilled that his formula would benefit people, bringing them eternal love, youth and happiness. But later he discovers the flip side of the formula. It could be used in the wrong way, a weapon against humanity. And so forces of evil are now after the mathematician. They want to take possession of the magic powers of his formula and use them in order to achieve their sinister goals. The mathematician knows that there is no escape for him, and he is ready to die. But he has to protect his formula. The mathematician has a secret love affair with a beautiful Japanese woman, Mariko. They decide that he will tattoo the magic formula on her body
1 edition published in 2010 in English and held by 2 WorldCat member libraries worldwide
Mathematics is first and foremost pursuit of absolute truth and beauty. This is the story of a mathematician who has found, after many years of hard work, the ultimate formula of love. At first, he was thrilled that his formula would benefit people, bringing them eternal love, youth and happiness. But later he discovers the flip side of the formula. It could be used in the wrong way, a weapon against humanity. And so forces of evil are now after the mathematician. They want to take possession of the magic powers of his formula and use them in order to achieve their sinister goals. The mathematician knows that there is no escape for him, and he is ready to die. But he has to protect his formula. The mathematician has a secret love affair with a beautiful Japanese woman, Mariko. They decide that he will tattoo the magic formula on her body
Characters and fusion rules for Walgebras via quantized DrinfeldSokolov reductions
by
Edward Frenkel(
Book
)
1 edition published in 1992 in English and held by 2 WorldCat member libraries worldwide
Abstract: "Using the cohomological approach to Walgebras, we calculate characters and fusion coefficients for their representations obtained from modular invariant representations of affine algebras by the quantized DrinfeldSokolov reduction."
1 edition published in 1992 in English and held by 2 WorldCat member libraries worldwide
Abstract: "Using the cohomological approach to Walgebras, we calculate characters and fusion coefficients for their representations obtained from modular invariant representations of affine algebras by the quantized DrinfeldSokolov reduction."
KacMoody groups and integrability of soliton equations
by
Boris L Feigin(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Representation Theory and Complex Analysis : Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 1017, 2004
by
M Cowling(
)
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
Free field resolutions in affine Toda field theories
by
Boris L Feigin(
Book
)
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
Abstract: "We construct free field resolutions for the local integrals of motion in the quantum affine Toda field theory. They are closely related to the BGG type resolution of the trivial representation of the corresponding affine quantum group. We prove the existence of infinite number of mutually commuting integrals of motion, whose spins are equal to the exponents of the corresponding affine KacMoody algebra modulo the Coxeter number."
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
Abstract: "We construct free field resolutions for the local integrals of motion in the quantum affine Toda field theory. They are closely related to the BGG type resolution of the trivial representation of the corresponding affine quantum group. We prove the existence of infinite number of mutually commuting integrals of motion, whose spins are equal to the exponents of the corresponding affine KacMoody algebra modulo the Coxeter number."
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Algebra Associative algebras Curves, Algebraic Differential equations, Partial Dualism Epigrams, English Field theory (Physics) Geometry, Algebraic Group theory Hamiltonian systems Harmonic analysis KacMoody algebras Loops (Group theory) Mathematical physics Mathematicians Mathematics MathematicsPhilosophy Quantum groups Quantum theory Representations of groups Topological groups United States Vertex operator algebras Von Neumann algebras