Edit Profile (opens in new tab) Kornyak, Vladimir V. Co-Author Distance Author ID: kornyak.vladimir-v Published as: Kornyak, V. V.; Kornyak, Vladimir V.; Kornyak, V. more...less Documents Indexed: 41 Publications since 1985 Co-Authors: 6 Co-Authors with 12 Joint Publications 166 Co-Co-Authors all top 5 Co-Authors 29 single-authored 6 Gerdt, Vladimir Petrovich 2 Fedorova, R. N. 2 Fushchych, Vil’gel’m Illich 2 Gusynin, V. P. 1 Berth, Matthias 1 Eliseev, V. P. all top 5 Serials 11 Programming and Computer Software 6 Journal of Mathematical Sciences (New York) 3 Journal of Symbolic Computation 1 Computer Physics Communications 1 Computational Mathematics and Mathematical Physics 1 Computer Science Journal of Moldova 1 Fundamental’naya i Prikladnaya Matematika 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Journal of Nonlinear Mathematical Physics all top 5 Fields 27 Computer science (68-XX) 12 Nonassociative rings and algebras (17-XX) 11 Quantum theory (81-XX) 6 Group theory and generalizations (20-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Commutative algebra (13-XX) 2 Functional analysis (46-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General algebraic systems (08-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 56 times in 39 Documents Cited by ▼ Year ▼ A REDUCE program for determining point and contact Lie symmetries of differential equations. Zbl 0567.34001Eliseev, V. P.; Fedorova, R. N.; Kornyak, V. V. 8 1985 Splitting permutation representations of finite groups by polynomial algebra methods. Zbl 1453.20022Kornyak, Vladimir V. 6 2018 Construction of finitely presented Lie algebras and superalgebras. Zbl 0876.17002Gerdt, Vladimir P.; Kornyak, Vladimir V. 6 1996 Computer algebra application for determining Lie and Lie-Bäcklund symmetries of differential equations. Zbl 0691.35004Fushchich, W. I.; Kornyak, V. V. 4 1989 Program for constructing a complete system of relations, basis elements, and commutator table for finitely presented Lie algebras and superalgebras. Zbl 0972.68192Gerdt, V. P.; Kornyak, V. V. 4 1997 On compatibility of discrete relations. Zbl 1169.68663Kornyak, Vladimir V. 4 2005 DeWitt–Seeley–Gilkey coefficients for nonminimal differential operators in curved space. Zbl 1031.58014Gusynin, V. P.; Kornyak, V. V. 3 1999 Quantization in discrete dynamical systems. Zbl 1288.81053Kornyak, V. V. 3 2010 Symbolic computation of DeWitt-Seeley-Gilkey coefficients on curved manifolds. Zbl 0811.58057Gusynin, V. P.; Kornyak, V. V. 3 1994 An algorithm for decomposing representations of finite groups using invariant projections. Zbl 1468.20002Kornyak, V. V. 2 2019 Application of an electronic computer to the investigation of symmetries of some equations of mathematical physics. Zbl 0612.35116Kornyak, V. V. 1 1985 An algorithm for computing invariant projectors in representations of wreath products. Zbl 1437.81033Kornyak, Vladimir V. 1 2019 An algorithm for analysis of the structure of finitely presented Lie algebras. Zbl 0929.17001Gerdt, Vladimir P.; Kornyak, Vladimir V. 1 1997 Lie algebras and superalgebras defined by a finite number of relations: computer analysis. Zbl 0967.17002Gerdt, V. P.; Kornyak, V. V. 1 1995 Heat invariant \(E_2\) for nonminimal operator on manifolds with torsion. Zbl 0980.58014Kornyak, Vladimir V. 1 2000 A program for computing the cohomology of Lie superalgebras of vector fields. Zbl 0990.17001Kornyak, V. V. 1 1999 A modular algorithm for computing cohomologies of Lie algebras and superalgebras. Zbl 1101.68991Kornyak, V. V. 1 2004 Symmetric cellular automata. Zbl 1137.68441Kornyak, V. V. 1 2007 Discrete dynamics: gauge invariance and quantization. Zbl 1260.81109Kornyak, Vladimir V. 1 2009 Computer algebra study of spectral invariants of differential operators on curved manifolds. Zbl 1093.58504Kornyak, V. 1 2004 Discrete dynamical systems with symmetries: computer analysis. Zbl 1185.68870Kornyak, V. V. 1 2008 Computation of irreducible decompositions of permutation representations of wreath products of finite groups. Zbl 1450.81070Kornyak, V. V. 1 2020 A program for symmetry analysis of differential equations. Zbl 0925.68229Kornyak, V. V.; Fushchich, W. I. 1 1991 Computation of irreducible decompositions of permutation representations of wreath products of finite groups. Zbl 1450.81070Kornyak, V. V. 1 2020 An algorithm for decomposing representations of finite groups using invariant projections. Zbl 1468.20002Kornyak, V. V. 2 2019 An algorithm for computing invariant projectors in representations of wreath products. Zbl 1437.81033Kornyak, Vladimir V. 1 2019 Splitting permutation representations of finite groups by polynomial algebra methods. Zbl 1453.20022Kornyak, Vladimir V. 6 2018 Quantization in discrete dynamical systems. Zbl 1288.81053Kornyak, V. V. 3 2010 Discrete dynamics: gauge invariance and quantization. Zbl 1260.81109Kornyak, Vladimir V. 1 2009 Discrete dynamical systems with symmetries: computer analysis. Zbl 1185.68870Kornyak, V. V. 1 2008 Symmetric cellular automata. Zbl 1137.68441Kornyak, V. V. 1 2007 On compatibility of discrete relations. Zbl 1169.68663Kornyak, Vladimir V. 4 2005 A modular algorithm for computing cohomologies of Lie algebras and superalgebras. Zbl 1101.68991Kornyak, V. V. 1 2004 Computer algebra study of spectral invariants of differential operators on curved manifolds. Zbl 1093.58504Kornyak, V. 1 2004 Heat invariant \(E_2\) for nonminimal operator on manifolds with torsion. Zbl 0980.58014Kornyak, Vladimir V. 1 2000 DeWitt–Seeley–Gilkey coefficients for nonminimal differential operators in curved space. Zbl 1031.58014Gusynin, V. P.; Kornyak, V. V. 3 1999 A program for computing the cohomology of Lie superalgebras of vector fields. Zbl 0990.17001Kornyak, V. V. 1 1999 Program for constructing a complete system of relations, basis elements, and commutator table for finitely presented Lie algebras and superalgebras. Zbl 0972.68192Gerdt, V. P.; Kornyak, V. V. 4 1997 An algorithm for analysis of the structure of finitely presented Lie algebras. Zbl 0929.17001Gerdt, Vladimir P.; Kornyak, Vladimir V. 1 1997 Construction of finitely presented Lie algebras and superalgebras. Zbl 0876.17002Gerdt, Vladimir P.; Kornyak, Vladimir V. 6 1996 Lie algebras and superalgebras defined by a finite number of relations: computer analysis. Zbl 0967.17002Gerdt, V. P.; Kornyak, V. V. 1 1995 Symbolic computation of DeWitt-Seeley-Gilkey coefficients on curved manifolds. Zbl 0811.58057Gusynin, V. P.; Kornyak, V. V. 3 1994 A program for symmetry analysis of differential equations. Zbl 0925.68229Kornyak, V. V.; Fushchich, W. I. 1 1991 Computer algebra application for determining Lie and Lie-Bäcklund symmetries of differential equations. Zbl 0691.35004Fushchich, W. I.; Kornyak, V. V. 4 1989 A REDUCE program for determining point and contact Lie symmetries of differential equations. Zbl 0567.34001Eliseev, V. P.; Fedorova, R. N.; Kornyak, V. V. 8 1985 Application of an electronic computer to the investigation of symmetries of some equations of mathematical physics. Zbl 0612.35116Kornyak, V. V. 1 1985 all cited Publications top 5 cited Publications all top 5 Cited by 61 Authors 7 Kornyak, Vladimir V. 4 Gerdt, Vladimir Petrovich 4 Zinin, Mikhail V. 3 Bokut, Leonid A. 2 Blinkov, Yuri A. 2 Hereman, Willy A. 2 Mikhalëv, Aleksandr Aleksandrovich 1 Aghasi, Mansour 1 Akhatov, Iskander Sh. 1 Arrighi, Pablo 1 Bahturin, Yuri 1 Bär, Christian 1 Bocharov, Alexei V. 1 Bronshtejn, M. L. 1 Cantuba, Rafael Reno S. 1 Carminati, John 1 Chen, Yuqun 1 Cicalò, Serena 1 De Baets, Bernard 1 de Graaf, Willem Adriaan 1 Devitt, John S. 1 Di Molfetta, Giuseppe 1 Drew, Mark S. 1 Eon, Nathanaël 1 Fee, Greg J. 1 Fong, Yuen 1 Fushchych, Vil’gel’m Illich 1 Gazizov, Rafail Kav’evich 1 Gegenberg, Jack D. 1 Grasso, Darren T. 1 Ibragimov, Nail Hairullovich 1 Iochum, Bruno 1 Ke, Wen-Fong 1 Kegeles, Alexander 1 Kloster, Steve C. 1 Kolesnikov, Pavel Sergeevich 1 Kuzenko, Sergei M. 1 M.-Alizadeh, Benyamin 1 Masson, Thierry 1 Merker, Joël 1 Migrin, V. V. 1 Moroianu, Sergiu 1 Nenca, Anna 1 Niedermaier, Max R. 1 Ohta, Nobuyoshi 1 Oriti, Daniele 1 Percacci, Roberto 1 Preuß, Mike 1 Roelofs, Marcel 1 Sabzevari, Masoud 1 Sen, Saswato 1 Singer, Michael F. 1 van Leeuwen, Marc A. A. 1 Vavilov, Nikolaĭ Aleksandrovich 1 Wessing, Simon 1 Wetterich, Christof 1 Winternitz, Pavel 1 Wolnik, Barbara 1 Yamada, Masatoshi 1 Zaĭtsev, Mikhail Vladimirovich 1 Zolotykh, Andrej A. all top 5 Cited in 24 Serials 6 Programming and Computer Software 5 Journal of Mathematical Sciences (New York) 4 Journal of Symbolic Computation 2 Journal of High Energy Physics 1 Classical and Quantum Gravity 1 Computer Physics Communications 1 Nuclear Physics. B 1 Journal of Geometry and Physics 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 Mathematics and Computers in Simulation 1 Theoretical Computer Science 1 Acta Applicandae Mathematicae 1 Mathematical and Computer Modelling 1 International Journal of Mathematics 1 International Journal of Algebra and Computation 1 Computational Mathematics and Mathematical Physics 1 Computational Optimization and Applications 1 Advances in Applied Clifford Algebras 1 Journal of Algebra and its Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Bulletin of Mathematical Sciences 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Cited in 24 Fields 18 Computer science (68-XX) 11 Commutative algebra (13-XX) 11 Quantum theory (81-XX) 9 Nonassociative rings and algebras (17-XX) 7 Partial differential equations (35-XX) 6 Group theory and generalizations (20-XX) 5 Associative rings and algebras (16-XX) 4 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Relativity and gravitational theory (83-XX) 3 Topological groups, Lie groups (22-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year