Klimyk, A. U. (Anatoliĭ Ulʹi︠a︡novich) 1939
Overview
Works:  46 works in 153 publications in 3 languages and 1,317 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Translator, Other 
Publication Timeline
.
Most widely held works by
A. U Klimyk
Quantum groups and their representations by
A. U Klimyk(
Book
)
14 editions published between 1997 and 2011 in English and held by 275 WorldCat member libraries worldwide
This book start with an introduction to quantum groups for the beginner and continues as a textbook for graduate students in physics and in mathematics. It can also be used as a reference by more advanced readers. The authors cover a large but wellchosen variety of subjects from the theory of quantum groups (quantized universal enveloping algebras, quantized algebras of functions) and qdeformed algebras (qoscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The book is written with potential applications in physics and mathematics in mind. The basic quantum groups and quantum algebras and their representations are given in detail and accompanied by explicit formulas. A number of topics and results from the more advanced general theory are developed and discussed
14 editions published between 1997 and 2011 in English and held by 275 WorldCat member libraries worldwide
This book start with an introduction to quantum groups for the beginner and continues as a textbook for graduate students in physics and in mathematics. It can also be used as a reference by more advanced readers. The authors cover a large but wellchosen variety of subjects from the theory of quantum groups (quantized universal enveloping algebras, quantized algebras of functions) and qdeformed algebras (qoscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The book is written with potential applications in physics and mathematics in mind. The basic quantum groups and quantum algebras and their representations are given in detail and accompanied by explicit formulas. A number of topics and results from the more advanced general theory are developed and discussed
Problems of modern quantum field theory : invited lectures of the Spring School, held in Alushta USSR, April 24May 5, 1989 by
A. A Belavin(
Book
)
9 editions published in 1989 in English and held by 169 WorldCat member libraries worldwide
"This volume contains the invited lectures of a school on modern quantum field theory held at Alushta, USSR, in May 1989. The development of this subject, including string theories attempting to model elementary particles, is closely interwoven with modern mathematical physics. The lectures presented by experts in the field provide an overview of the research pursued in different branches of this rapidly evolving field and draw attention to particular interconnections and problems. Topics covered include: geometrical quantization and finite size effects in conformal field theory; quasiHopf, KacMoody current and Lie superalgebras; quantum groups; WessZuminoWitten models; NizhnikZamolodchikov equations; nonarchimedian strings; string dynamics; KdV and KP (super) equations and calculations on (super ) riemannian surfaces; 2d Ising model and 2d electron motion on surfaces in external magnetic fields."Publisher's web site
9 editions published in 1989 in English and held by 169 WorldCat member libraries worldwide
"This volume contains the invited lectures of a school on modern quantum field theory held at Alushta, USSR, in May 1989. The development of this subject, including string theories attempting to model elementary particles, is closely interwoven with modern mathematical physics. The lectures presented by experts in the field provide an overview of the research pursued in different branches of this rapidly evolving field and draw attention to particular interconnections and problems. Topics covered include: geometrical quantization and finite size effects in conformal field theory; quasiHopf, KacMoody current and Lie superalgebras; quantum groups; WessZuminoWitten models; NizhnikZamolodchikov equations; nonarchimedian strings; string dynamics; KdV and KP (super) equations and calculations on (super ) riemannian surfaces; 2d Ising model and 2d electron motion on surfaces in external magnetic fields."Publisher's web site
Representation of Lie groups and special functions by
N. I︠A︡ Vilenkin(
Book
)
4 editions published between 1991 and 1993 in English and held by 155 WorldCat member libraries worldwide
4 editions published between 1991 and 1993 in English and held by 155 WorldCat member libraries worldwide
Representation of Lie groups and special functions : recent advances by
N. I︠A︡ Vilenkin(
Book
)
16 editions published between 1995 and 2011 in English and held by 141 WorldCat member libraries worldwide
The present book is a continuation of the threevolume work Representation of Lie Groups and Special Functions by the same authors. Here, they deal with the exposition of the main new developments in the contemporary theory of multivariate special functions, bringing together material that has not been presented in monograph form before. The theory of orthogonal symmetric polynomials (Jack polynomials, Macdonald's polynomials and others) and multivariate hypergeometric functions associated to symmetric polynomials are treated. Multivariate hypergeometric functions, multivariate Jacobi polynomials and hharmonic polynomials connected with root systems and Coxeter groups are introduced. Also, the theory of Gel'fand hypergeometric functions and the theory of multivariate hypergeometric series associated to ClebschGordan coefficients of the unitary group U(n) is given. The volume concludes with an extensive bibliography. For research mathematicians and physicists, postgraduate students in mathematics and mathematical and theoretical physics
16 editions published between 1995 and 2011 in English and held by 141 WorldCat member libraries worldwide
The present book is a continuation of the threevolume work Representation of Lie Groups and Special Functions by the same authors. Here, they deal with the exposition of the main new developments in the contemporary theory of multivariate special functions, bringing together material that has not been presented in monograph form before. The theory of orthogonal symmetric polynomials (Jack polynomials, Macdonald's polynomials and others) and multivariate hypergeometric functions associated to symmetric polynomials are treated. Multivariate hypergeometric functions, multivariate Jacobi polynomials and hharmonic polynomials connected with root systems and Coxeter groups are introduced. Also, the theory of Gel'fand hypergeometric functions and the theory of multivariate hypergeometric series associated to ClebschGordan coefficients of the unitary group U(n) is given. The volume concludes with an extensive bibliography. For research mathematicians and physicists, postgraduate students in mathematics and mathematical and theoretical physics
Representation of Lie groups and special functions by
N. I︠A︡ Vilenkin(
Book
)
19 editions published between 1992 and 2011 in English and held by 51 WorldCat member libraries worldwide
This is the last of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with qanalogs of special functions, quantum groups and algebras (including Hopf algebras), and (representations of) semisimple Lie groups. Also treated are special functions of a matrix argument, representations in the Gel'fandTsetlin basis, and, finally, modular forms, thetafunctions and affine Lie algebras. The volume builds upon results of the previous two volumes, and presents many new results. Subscribers to the complete set of three volumes will be entitled to a discount of 15%
19 editions published between 1992 and 2011 in English and held by 51 WorldCat member libraries worldwide
This is the last of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with qanalogs of special functions, quantum groups and algebras (including Hopf algebras), and (representations of) semisimple Lie groups. Also treated are special functions of a matrix argument, representations in the Gel'fandTsetlin basis, and, finally, modular forms, thetafunctions and affine Lie algebras. The volume builds upon results of the previous two volumes, and presents many new results. Subscribers to the complete set of three volumes will be entitled to a discount of 15%
Representation of Lie groups and special functions by
N. I︠A︡ Vilenkin(
Book
)
24 editions published between 1991 and 1993 in English and held by 49 WorldCat member libraries worldwide
This is the first of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. <br/> This volume deals with the properties of classical orthogonal polynomials and special functions which are related to representations of groups of matrices of second order and of groups of triangular matrices of third order. This material forms the basis of many results concerning classical special functions such as Bessel, MacDonald, Hankel, Whittaker, hypergeometric, and confluent hypergeometric functions, and different classes of orthogonal polynomials, including those having a discrete variable. Many new results are given. <br/> The volume is selfcontained, since an introductory section presents basic required material from algebra, topology, functional analysis and group theory. <br/> For research mathematicians, physicists and engineers
24 editions published between 1991 and 1993 in English and held by 49 WorldCat member libraries worldwide
This is the first of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. <br/> This volume deals with the properties of classical orthogonal polynomials and special functions which are related to representations of groups of matrices of second order and of groups of triangular matrices of third order. This material forms the basis of many results concerning classical special functions such as Bessel, MacDonald, Hankel, Whittaker, hypergeometric, and confluent hypergeometric functions, and different classes of orthogonal polynomials, including those having a discrete variable. Many new results are given. <br/> The volume is selfcontained, since an introductory section presents basic required material from algebra, topology, functional analysis and group theory. <br/> For research mathematicians, physicists and engineers
Representation of Lie groups and special functions by
N. I︠A︡ Vilenkin(
Book
)
11 editions published between 1991 and 1993 in English and held by 26 WorldCat member libraries worldwide
11 editions published between 1991 and 1993 in English and held by 26 WorldCat member libraries worldwide
Matrichnye ėlementy i koėffit︠s︡ienty KlebshaGordana predstavleniĭ grupp by
A. U Klimyk(
Book
)
6 editions published in 1979 in Russian and held by 13 WorldCat member libraries worldwide
6 editions published in 1979 in Russian and held by 13 WorldCat member libraries worldwide
Simplest Lie groups, special functions and integral transforms by
N. I︠A︡ Vilenkin(
Book
)
2 editions published in 1991 in English and held by 11 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 11 WorldCat member libraries worldwide
Class I representations, special functions, and integral transforms by
N. I︠A︡ Vilenkin(
Book
)
3 editions published between 1991 and 1993 in English and held by 10 WorldCat member libraries worldwide
3 editions published between 1991 and 1993 in English and held by 10 WorldCat member libraries worldwide
Representation of Lie groups and special functions by
N. I︠A︡ Vilenkin(
Book
)
in English and held by 9 WorldCat member libraries worldwide
in English and held by 9 WorldCat member libraries worldwide
Classical and quantum groups and special functions by
N. I︠A︡ Vilenkin(
Book
)
2 editions published between 1991 and 1992 in English and held by 7 WorldCat member libraries worldwide
2 editions published between 1991 and 1992 in English and held by 7 WorldCat member libraries worldwide
Representation of Lie groups and special functions by
N. I︠A︡ Vilenkin(
Book
)
in English and held by 5 WorldCat member libraries worldwide
in English and held by 5 WorldCat member libraries worldwide
Matematychni osnovy teoriï symetriĭ by
P. I Holod(
Book
)
1 edition published in 1992 in Ukrainian and held by 4 WorldCat member libraries worldwide
1 edition published in 1992 in Ukrainian and held by 4 WorldCat member libraries worldwide
Matričnye ėlementy i koėfficienty KlebšaGordana predstavlenij grupp by
A. U Klimyk(
Book
)
2 editions published in 1979 in Russian and Ukrainian and held by 4 WorldCat member libraries worldwide
2 editions published in 1979 in Russian and Ukrainian and held by 4 WorldCat member libraries worldwide
Vychislitelʹnye metody v teorii predstavleniĭ grupp by
A. U Klimyk(
Book
)
2 editions published in 1986 in Russian and held by 4 WorldCat member libraries worldwide
2 editions published in 1986 in Russian and held by 4 WorldCat member libraries worldwide
Teorija predstavlenij grupp i ee priloženija by
A. O Barut(
Book
)
3 editions published in 1980 in Russian and held by 3 WorldCat member libraries worldwide
3 editions published in 1980 in Russian and held by 3 WorldCat member libraries worldwide
Volume 1 : Simplest Lie Groups, Special Functions and Integral Transforms by
N. I︠A︡ Vilenkin(
)
1 edition published in 1991 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 0 WorldCat member libraries worldwide
Volume 3 : Classical and Quantum Groups and Special Functions by
N. I︠A︡ Vilenkin(
)
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
Volume 2 : Class I Representations, Special Functions, and Integral Transforms by
N. I︠A︡ Vilenkin(
)
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Vilenkin, N. I︠A︡ (Naum I︠A︡kovlevich) Author
 Schmüdgen, Konrad
 Belavin, A. A. (Aleksandr Abramovich) 1942 Other Author
 Zamolodchikov, A. B. 1952 Other
 Hazewinkel, M.
 Groza, V. A. Translator
 Groza, A. A. Translator
 Barut, Asim Orhan Author
 Gavrilik, A. M.
 Akademija Nauk Ukrainskoj SSR Editor
Associated Subjects
Functions, Special Group theory Harmonic analysis Integral transforms Lie groups Mathematical physics Mathematics Matrices Physics Quantum field theory Quantum groups Quantum theory Representations of groups Representations of Lie groups Representations of quantum groups Symmetry groups Topological groups
Alternative Names
Klimyk, A. U.
Klimyk, A.U. 19392008
Klimyk, Anatoli.
Klimyk, Anatoli 19392008
Klimyk Anatoli Ulianovitch 1939....
Klimyk, Anatolii U. 19392008
Klimyk Anatoliĭ Ulʹianovich
Klimyk, Anatoliĭ Ulʹi︠a︡novich 1939
Klimyk, Anatoliǐ Ul'ianovich 19392008
Klimyk, Anatolij.
Klimyk, Anatolij Ul'janovič
Klimyk, Anatolij Ulʹjanovič 19392008
Klimyk, Anatolij Ul'janovič. [t]
Klimyk, Anatolij Ulʹjanovich 19392008
Klimyk, Anatoly 19392008
Klymyk Anatoli Uljanovich
Klymyk Anatoli Uljanovich 1939
Klymyk, Anatoli Uljanovich 19392008
Климык, Анатолий Ульянович
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