Etingof, P. I. (Pavel I.) 1969
Overview
Works:  31 works in 156 publications in 3 languages and 3,739 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QC174.17.S9, 510 
Publication Timeline
.
Most widely held works by
P. I Etingof
Lectures on representation theory and KnizhnikZamolodchikov equations by
P. I Etingof(
Book
)
11 editions published in 1998 in English and held by 323 WorldCat member libraries worldwide
11 editions published in 1998 in English and held by 323 WorldCat member libraries worldwide
Introduction to representation theory by
P. I Etingof(
Book
)
13 editions published in 2011 in English and Undetermined and held by 277 WorldCat member libraries worldwide
Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a "holistic" introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints
13 editions published in 2011 in English and Undetermined and held by 277 WorldCat member libraries worldwide
Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a "holistic" introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints
The unity of mathematics : in honor of the ninetieth birthday of I.M. Gelfand by
P. I Etingof(
Book
)
25 editions published between 2006 and 2007 in English and held by 244 WorldCat member libraries worldwide
"A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory. Written by leading mathematicians, the text is broadly divided into two sections: the first is devoted to developments at the intersection of geometry and physics, and the second to representation theory and algebraic geometry. Topics include conformal field theory, Ktheory, noncommutative geometry, gauge theory, representations of infinitedimensional Lie algebras, and various aspects of the Langlands program. Graduate students and researchers will benefit from and find inspiration in this broad and unique work, which brings together fundamental results in a number of disciplines and highlights the rewards of an interdisciplinary approach to mathematics and physics."Publisher's website
25 editions published between 2006 and 2007 in English and held by 244 WorldCat member libraries worldwide
"A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory. Written by leading mathematicians, the text is broadly divided into two sections: the first is devoted to developments at the intersection of geometry and physics, and the second to representation theory and algebraic geometry. Topics include conformal field theory, Ktheory, noncommutative geometry, gauge theory, representations of infinitedimensional Lie algebras, and various aspects of the Langlands program. Graduate students and researchers will benefit from and find inspiration in this broad and unique work, which brings together fundamental results in a number of disciplines and highlights the rewards of an interdisciplinary approach to mathematics and physics."Publisher's website
The dynamical YangBaxter equation, representation theory, and quantum integrable systems by
P. I Etingof(
Book
)
13 editions published between 2005 and 2008 in English and held by 201 WorldCat member libraries worldwide
13 editions published between 2005 and 2008 in English and held by 201 WorldCat member libraries worldwide
Why the boundary of a round drop becomes a curve of order four by
A. N Varchenko(
Book
)
9 editions published between 1991 and 1992 in English and held by 191 WorldCat member libraries worldwide
9 editions published between 1991 and 1992 in English and held by 191 WorldCat member libraries worldwide
Tensor categories by
P. I Etingof(
Book
)
10 editions published between 2004 and 2015 in 3 languages and held by 182 WorldCat member libraries worldwide
10 editions published between 2004 and 2015 in 3 languages and held by 182 WorldCat member libraries worldwide
Quantum groups : proceedings of a conference in memory of Joseph Donin, July 512, 2004, TechnionIsrael, Institute of Technology,
Haifa, Israel by
S Shnider(
Book
)
13 editions published in 2007 in English and held by 181 WorldCat member libraries worldwide
13 editions published in 2007 in English and held by 181 WorldCat member libraries worldwide
CalogeroMoser systems and representation theory by
P. I Etingof(
Book
)
10 editions published in 2007 in English and held by 161 WorldCat member libraries worldwide
CalogeroMoser systems, which were originally discovered by specialists in integrable systems are currently at the crossroads of many areas of mathematics and within the scope of interests of many mathematicians. More specifically, these systems and their generalizations turned out to have intrinsic connections with such fields as algebraic geometry (Hilbert schemes of surfaces), representation theory (double affine Hecke algebras, Lie groups, quantum groups), deformation theory (symplectic reflection algebras), homological algebra (Koszul algebras), Poisson geometry, etc. The goal of the present lecture notes is to give an introduction to the theory of CalogeroMoser systems, highlighting their interplay with these fields. Since these lectures are designed for nonexperts, we give short introductions to each of the subjects involved, and provide a number of exercises. The book will be suitable for mathematics graduate students and researchers in the areas of representation theory, noncommutative algebra, algebraic geometry, and related areas
10 editions published in 2007 in English and held by 161 WorldCat member libraries worldwide
CalogeroMoser systems, which were originally discovered by specialists in integrable systems are currently at the crossroads of many areas of mathematics and within the scope of interests of many mathematicians. More specifically, these systems and their generalizations turned out to have intrinsic connections with such fields as algebraic geometry (Hilbert schemes of surfaces), representation theory (double affine Hecke algebras, Lie groups, quantum groups), deformation theory (symplectic reflection algebras), homological algebra (Koszul algebras), Poisson geometry, etc. The goal of the present lecture notes is to give an introduction to the theory of CalogeroMoser systems, highlighting their interplay with these fields. Since these lectures are designed for nonexperts, we give short introductions to each of the subjects involved, and provide a number of exercises. The book will be suitable for mathematics graduate students and researchers in the areas of representation theory, noncommutative algebra, algebraic geometry, and related areas
Lectures on quantum groups by
P. I Etingof(
Book
)
17 editions published between 1998 and 2012 in English and held by 153 WorldCat member libraries worldwide
17 editions published between 1998 and 2012 in English and held by 153 WorldCat member libraries worldwide
Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday on perspectives in representation
theory : May 1217, 2012, Yale University, New Haven, CT by Perspectives in representation theory(
Book
)
7 editions published in 2014 in English and held by 106 WorldCat member libraries worldwide
7 editions published in 2014 in English and held by 106 WorldCat member libraries worldwide
Quantum fields and strings : a course for mathematicians(
Book
)
1 edition published in 1999 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 9 WorldCat member libraries worldwide
Pochemu granit︠s︡a krugloĭ kapli prevrashchaetsi︠a︡ v inversnyĭ obraz ėllipsa by
A. N Varchenko(
Book
)
3 editions published in 1995 in Russian and held by 7 WorldCat member libraries worldwide
3 editions published in 1995 in Russian and held by 7 WorldCat member libraries worldwide
Special issue celebrating the 60th bithday of Corrado De Concini(
Book
)
2 editions published in 2011 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2011 in English and held by 2 WorldCat member libraries worldwide
The dynamical YangBaxter equation, representation theory, and quantum integrable systems by
P. I Etingof(
)
1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide
Lectures on representation theory and KnizhnikZamolodchikov equations by
P. I Etingof(
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
On the dynamical YangBaxter equation by
P. I Etingof(
Book
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Why the boundary of a round drop becomes a curve of order four by
A. N Varchenko(
)
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
Lectures on representation theory and KnizhnikZamolodchikov equations by
P. I Etingof(
)
1 edition published in 1998 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Latour, Frédéric
 Retakh, Vladimir Editor
 Singer, I. M. (Isadore Manuel) 1924 Editor
 Gelʹfand, I. M. (Izrailʹ Moiseevich) Honoree Author Dedicatee
 Frenkel, Igor Other Honoree
 Gelaki, Shlomo 1964 Editor
 Kirillov, Alexander A. 1967
 Varchenko, A. N. (Aleksandr Nikolaevich) Author
 Shnider, S. (Steven) 1945 Editor
 Donin, Joseph 2004 Dedicatee
Useful Links
Associated Subjects
Algebraic topology Associative algebras Boundary value problems Broken symmetry (Physics) Categories (Mathematics) Curves, Elliptic Drinfeld modules Fluid dynamicsMathematical models Geometric quantization Geometry Geometry, Algebraic Group theory Hamiltonian systems Hopf algebras KacMoody algebras KnizhnikZamolodchikov equations Ktheory Lie algebras Mathematical physics Mathematics Modules (Algebra) Quantum field theory Quantum groups Representations of algebras Representations of groups Representations of quantum groups Representations of rings (Algebra) String models Tensor fields Topological groups YangBaxter equation
Alternative Names
Etingof, P. 1969
Ètingof, P. I.
Etingof, P. I. 1969
Etingof, P.I. Pavel I. 1969
Etingof, Pavel.
Etingof, Pavel 1969
Etingof, Pavel I.
Etingof, Pavel I. 1969
Etingof, Pavel Iljič, 1969
Pavel Etingof American mathematician
Pavel Etingof mathématicien américain
Pavel Etingof Russisch wiskundige
Pavel Etingof USamerikanischer Mathematiker
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