Krasilʹshchik, I. S. (Iosif Semenovich)
Overview
Works:  19 works in 70 publications in 4 languages and 933 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Translator, Honoree, Other 
Classifications:  QL738.5, 515.353 
Publication Timeline
.
Most widely held works by
I. S Krasilʹshchik
Symmetries and conservation laws for differential equations of mathematical physics by
I. S Krasilʹshchik(
Book
)
6 editions published between 1997 and 1999 in 3 languages and held by 250 WorldCat member libraries worldwide
6 editions published between 1997 and 1999 in 3 languages and held by 250 WorldCat member libraries worldwide
Secondary calculus and cohomological physics : proceedings of a Conference on Secondary Calculus and Cohomological Physics,
August 2431, 1997, Moscow, Russia by Conference on Secondary Calculus and Cohomological Physics(
Book
)
9 editions published in 1998 in English and held by 206 WorldCat member libraries worldwide
9 editions published in 1998 in English and held by 206 WorldCat member libraries worldwide
Geometry of jet spaces and nonlinear partial differential equations by
I. S Krasilʹshchik(
Book
)
14 editions published between 1985 and 1986 in 3 languages and held by 181 WorldCat member libraries worldwide
14 editions published between 1985 and 1986 in 3 languages and held by 181 WorldCat member libraries worldwide
Symmetries and recursion operators for classical and supersymmetric differential equations by
I. S Krasilʹshchik(
Book
)
9 editions published between 2000 and 2011 in English and held by 108 WorldCat member libraries worldwide
This book is a detailed exposition of algebraic and geometrical aspects related to the theory of symmetries and recursion operators for nonlinear partial differential equations (PDE), both in classical and in super, or graded, versions. It contains an original theory of FrölicherNijenhuis brackets which is the basis for a special cohomological theory naturally related to the equation structure. This theory gives rise to infinitesimal deformations of PDE, recursion operators being a particular case of such deformations. Efficient computational formulas for constructing recursion operators are deduced and, in combination with the theory of coverings, lead to practical algorithms of computations. Using these techniques, previously unknown recursion operators (together with the corresponding infinite series of symmetries) are constructed. In particular, complete integrability of some superequations of mathematical physics (Kortewegde Vries, nonlinear Schrödinger equations, etc.) is proved. Audience: The book will be of interest to mathematicians and physicists specializing in geometry of differential equations, integrable systems and related topics
9 editions published between 2000 and 2011 in English and held by 108 WorldCat member libraries worldwide
This book is a detailed exposition of algebraic and geometrical aspects related to the theory of symmetries and recursion operators for nonlinear partial differential equations (PDE), both in classical and in super, or graded, versions. It contains an original theory of FrölicherNijenhuis brackets which is the basis for a special cohomological theory naturally related to the equation structure. This theory gives rise to infinitesimal deformations of PDE, recursion operators being a particular case of such deformations. Efficient computational formulas for constructing recursion operators are deduced and, in combination with the theory of coverings, lead to practical algorithms of computations. Using these techniques, previously unknown recursion operators (together with the corresponding infinite series of symmetries) are constructed. In particular, complete integrability of some superequations of mathematical physics (Kortewegde Vries, nonlinear Schrödinger equations, etc.) is proved. Audience: The book will be of interest to mathematicians and physicists specializing in geometry of differential equations, integrable systems and related topics
Geometric and algebraic structures in differential equations by
P. H. M Kersten(
Book
)
12 editions published between 1995 and 1996 in English and held by 36 WorldCat member libraries worldwide
The geometrical theory of nonlinear differential equations originates from classical works by S. Lie and A. Bäcklund. It obtained a new impulse in the sixties when the complete integrability of the Kortewegde Vries equation was found and it became clear that some basic and quite general geometrical and algebraic structures govern this property of integrability. Nowadays the geometrical and algebraic approach to partial differential equations constitutes a special branch of modern mathematics. In 1993, a workshop on algebra and geometry of differential equations took place at the University of Twente (The Netherlands), where the stateoftheart of the main problems was fixed. This book contains a collection of invited lectures presented at this workshop. The material presented is of interest to those who work in pure and applied mathematics and especially in mathematical physics
12 editions published between 1995 and 1996 in English and held by 36 WorldCat member libraries worldwide
The geometrical theory of nonlinear differential equations originates from classical works by S. Lie and A. Bäcklund. It obtained a new impulse in the sixties when the complete integrability of the Kortewegde Vries equation was found and it became clear that some basic and quite general geometrical and algebraic structures govern this property of integrability. Nowadays the geometrical and algebraic approach to partial differential equations constitutes a special branch of modern mathematics. In 1993, a workshop on algebra and geometry of differential equations took place at the University of Twente (The Netherlands), where the stateoftheart of the main problems was fixed. This book contains a collection of invited lectures presented at this workshop. The material presented is of interest to those who work in pure and applied mathematics and especially in mathematical physics
Homological methods in equations of mathematical physics by
I. S Krasilʹshchik(
Book
)
2 editions published in 1998 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1998 in English and held by 6 WorldCat member libraries worldwide
Lie groups and Lie algebras : their representations, generalisations, and applications by
B. P Komrakov(
Book
)
3 editions published in 1998 in English and held by 5 WorldCat member libraries worldwide
This collection brings together papers related to the classical ideas of Sophus Lie. The present work reflects the interests of scientists associated with the International Sophus Lie Center, and provides uptodate results in Lie groups and Lie algebras, quantum mathematics, hypergroups, homogeneous spaces, Lie superalgebras, the theory of representations and applications to differential equations and integrable systems. <br/> Among the topics that are treated are quantization of Poisson structures, applications of multivalued groups, noncommutative aspects of hypergroups, homology invariants of homogeneous spaces, generalisations of the GodbillonVey invariant, relations between classical problems of linear analysis and representation theory and the geometry of current groups. <br/> <em>Audience:</em> This volume will be of interest to mathematicians and physicists specialising in the theory and applications of Lie groups and Lie algebras, quantum groups, hypergroups and homogeneous spaces
3 editions published in 1998 in English and held by 5 WorldCat member libraries worldwide
This collection brings together papers related to the classical ideas of Sophus Lie. The present work reflects the interests of scientists associated with the International Sophus Lie Center, and provides uptodate results in Lie groups and Lie algebras, quantum mathematics, hypergroups, homogeneous spaces, Lie superalgebras, the theory of representations and applications to differential equations and integrable systems. <br/> Among the topics that are treated are quantization of Poisson structures, applications of multivalued groups, noncommutative aspects of hypergroups, homology invariants of homogeneous spaces, generalisations of the GodbillonVey invariant, relations between classical problems of linear analysis and representation theory and the geometry of current groups. <br/> <em>Audience:</em> This volume will be of interest to mathematicians and physicists specialising in the theory and applications of Lie groups and Lie algebras, quantum groups, hypergroups and homogeneous spaces
Poisson structures on nonlinear evolution equations by
I. S Krasilʹshchik(
Book
)
3 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
Deformations and recursion operators for evolution equations by
I. S Krasilʹshchik(
Book
)
2 editions published in 1992 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 3 WorldCat member libraries worldwide
Graded FrölicherNijenhuis brackets and the theory of recursion operators for super differential equations by
P. H. M Kersten(
Book
)
2 editions published in 1993 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1993 in English and held by 3 WorldCat member libraries worldwide
Integrable systems : selected papers by
S. P Novikov(
Book
)
1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide
Systems of partial differential equations and Lie pseudogroups by
J. F Pommaret(
Book
)
1 edition published in 1983 in Russian and held by 2 WorldCat member libraries worldwide
1 edition published in 1983 in Russian and held by 2 WorldCat member libraries worldwide
Tezy dopovidej Mižnarodnoï Konferenciï "Heometrija v Odesi  2008" : prysvjačuetʹsja 85riččju M. A. Akyvysa, 60riččju
I. S. Krasylʹščyka, 65riččju A. M. Šelechova ; Odesa, 19 travnja  24 travnja 2008 r. = Tezisy dokladov Meždunarodnoj
Konferencii "Geometrija v Odesse  2008" : posvjaščennoj 85letiju M. A. Akivisa, 60letiju I. S. Krasilʹščika, 65letiju
A. M. Šelechova ; Odessa, 19 maja  24 maja 2008 g. = Abstracts of the International Conference "Geometry in Odessa  2008"
: in honor of Maks A. Akivis on his 85th birthday, Iosif S. Krasilshchik on his 60th birthday, Alexander M. Shelekhov on his
65th birthday(
Book
)
1 edition published in 2008 in Ukrainian and held by 2 WorldCat member libraries worldwide
1 edition published in 2008 in Ukrainian and held by 2 WorldCat member libraries worldwide
Genetics and the animal cell by
Mario Terzi(
Book
)
1 edition published in 1977 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1977 in Russian and held by 1 WorldCat member library worldwide
Special issue on algebraic aspects of differential calculus(
Book
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Special issue on geometrical aspects of nonlinear differential equations(
Book
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
Geometry of PDE in action: zerocurvature representations, recursion operators, and control systems by
Harmonic Analysis on Homogeneous Spaces and Quantization Workshop Representations of Lie Groups(
Book
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Vinogradov, A. M. (Aleksandr Mikhaĭlovich) Author Editor
 Bocharov, A. V. Translator
 Henneaux, Marc Editor
 Kersten, P. H. M. Other Author Editor
 Lychagin, V. V. (Valentin Vasilʹevich)
 Sossinsky, A. B. Translator
 Komrakov, B. P. Author
 Litvinov, G. L.
 Verbovetsky, Alexander Translator
 Institut diffeotopii (Akademii︠a︡ estestvennykh nauk Rossiĭskoĭ Federat︠s︡ii)
Associated Subjects
Algebra Algebraic topology Animal genetics Boundary value problems Conservation laws (Mathematics) Cytogenetics Differential equations Differential equations, Nonlinear Differential equations, Partial Differential equations, PartialNumerical solutions Differential equationsNumerical solutions Electronic data processing Geometry Geometry, Algebraic Geometry, Differential Global differential geometry Homology theory Jets (Topology) Lie algebras Lie groups Mathematical physics Mathematics Pseudogroups Quantum field theory Symmetry Symmetry (Physics) Topological groups
Alternative Names
Krasilchtchik Iosif Semenovitch
Krasil'ščik, I. S.
Krasilʹščik, I. S. 1948
Krasilʹščik, Iosif Semenovič
Krasil'ščik, Iosif Semenovič. [t]
Krasil'shchik, I.S.
Krasilʹshchik, I. S. 1948
Krasilshchik, Iosif Semenivich.
Krasilʹshchik Iosif Semenovich
Krasilʹshchik, Iosif Semenovich 1948
Krasilʹshchik, Joseph
Krasilʹshchik, Joseph 1948
Krasil'ŝik, I. S.
Красильщик, Иосиф Семенович.
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