Vladimir V. Kornyak - researchr alias

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2025

Constructive Quantum Mechanics and Calculations with Finite GroupsVladimir V. Kornyak. pcs, 51(1):6-16, February 2025. [doi]

2022

Decomposition of a Finite Quantum System into Subsystems: Symbolic-Numerical ApproachVladimir V. Kornyak. pcs, 48(4):293-300, 2022. [doi]

2021

Dynamic Simulation of Quantum Entanglement in Finite Quantum Mechanics: A Computer Algebra ApproachVladimir V. Kornyak. pcs, 47(2):124-132, 2021. [doi]

2019

An Algorithm for Computing Invariant Projectors in Representations of Wreath ProductsVladimir V. Kornyak. casc 2019: 300-314 [doi]

2018

Splitting Permutation Representations of Finite Groups by Polynomial Algebra MethodsVladimir V. Kornyak. casc 2018: 304-318 [doi]

2011

Mathematical Modeling of Finite Quantum SystemsVladimir V. Kornyak. mmcp 2012: 79-93 [doi]

Computations in Finite Groups and Quantum PhysicsVladimir V. Kornyak. casc 2011: 263-279 [doi]

2009

Discrete Dynamics: Gauge Invariance and QuantizationVladimir V. Kornyak. casc 2009: 180-194 [doi]

2007

Symmetries and Dynamics of Discrete SystemsVladimir V. Kornyak. cascon 2007: 236-251 [doi]

Symmetric cellular automataVladimir V. Kornyak. pcs, 33(2):87-93, 2007. [doi]

2006

Cellular Automata with Symmetric Local RulesVladimir V. Kornyak. cascon 2006: 240-250 [doi]

Discrete relations on abstract simplicial complexesVladimir V. Kornyak. pcs, 32(2):84-89, 2006. [doi]

2005

On Compatibility of Discrete RelationsVladimir V. Kornyak. cascon 2005: 272-284 [doi]

Cohomologies of restricted Lie algebras of Hamiltonian vector fields: Computer analysisVladimir V. Kornyak. pcs, 31(2):87-90, 2005. [doi]

2004

A Modular Algorithm for Computing Cohomologies of Lie Algebras and SuperalgebrasVladimir V. Kornyak. pcs, 30(3):157-163, 2004. [doi]

2003

A Method of Splitting Cochain Complexes for Computing Cohomology: Lie Algebra of Hamiltonian Vector Fields H(2|0)Vladimir V. Kornyak. pcs, 29(2):94-99, 2003. [doi]

2002

A Method of Splitting Cochain Complexes to Compute Cohomologies of Lie (Super)algebrasVladimir V. Kornyak. pcs, 28(2):76-80, 2002. [doi]

2001

A New Algorithm for Computing Cohomologies of Lie SuperalgebrasVladimir V. Kornyak. casc 2001: 391-398 [doi]

Computation of Cohomologies of Lie Superalgebras: Algorithm and ImplementationVladimir V. Kornyak. pcs, 27(3):142-145, 2001. [doi]

1999

Construction of Involutive Monomial Sets for Different Involutive DivisionsVladimir P. Gerdt, Vladimir V. Kornyak, Matthias Berth, Günter Czichowski. casc 1999: 147-157 [doi]

Cohomology of Lie Superalgebras of Hamiltonian Vector Fields: Computer AnalysisVladimir V. Kornyak. casc 1999: 241-249 [doi]

1997

An algorithm for analysis of the structure of finitely presented Lie algebrasVladimir P. Gerdt, Vladimir V. Kornyak. dmtcs, 1(2):217-228, 1997. [doi]

1996

An Implementation in C of an Algorithm for Construction of Finitely Presented Lie SuperalgebraszVladimir P. Gerdt, Vladimir V. Kornyak. csjm, 4(3):399-427, 1996. [doi]

Construction of Finitely Presented Lie Algebras and SuperalgebrasVladimir P. Gerdt, Vladimir V. Kornyak. JSC, 21(3):337-349, 1996.

1994

Symbolic Computation of DeWitt-Seeley-Gilkey Coefficients on Curved ManifoldsV. P. Gusynin, Vladimir V. Kornyak. JSC, 17(3):283-294, 1994.

1991

A Program for Symmetry Analysis of Differential EquationsVladimir V. Kornyak, W. I. Fushchich. issac 1991: 315-316 [doi]

1989

Computer Algebra Application for Determining Lie and Lie-Bäcklund Symmetries of Differential EquationsW. I. Fushchich, Vladimir V. Kornyak. JSC, 7(6):611-619, 1989.

1987

Computer algebra application for determining local symmetries of differential equationsR. N. Fedorova, Vladimir V. Kornyak. eurocal 1989: 174-175

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