Nesterenko Maryna Olexandrivna
Publications
M. Nesterenko, S. Posta, O. Vaneeva, Realizations of Galilei algebras, J. Phys. A: Math. Theor., V.49, 115203, 2016, 22 pages. arXiv:1509.00233
M. Nesterenko, S. Posta Contraction admissible pairs of complex six-dimensional nilpotent Lie algebras, Springer Proceedings in Mathematics & Statistics: Lie Theory and Its Applications in Physics, V.191, 2015, 539-549.
M. Nesterenko, Realizations of 3- and 6-dimensional Poincare algebras, J. Phys.: Conf. Ser. 621, 2015, 012009, 7 pages.
M. Nesterenko, S-expansions of three-dimensional Lie algebras, Proceedings of 6th International Workshop ``Group Analysis of Differential Equations and Integrable Systems'', 2013, 147-154. arXiv:1212.1820
M. Nesterenko, Realizations of Lie Algebras, Physics of Particles and Nuclei Letters 11, No. 7, 2014, 987-989.
Nesterenko M., Patera J. and Tereszkiewicz A., Orthogonal polynomials of compact simple Lie groups, International Journal of Mathematics and Mathematical Sciences, 2011, V. 2011, 969424, 23 pages.
Nesterenko M., Patera J., Szajewska M. and Tereszkiewicz A., Orthogonal polynomials of compact simple Lie groups: Branching rules for polynomials, 2010, V. 43, 495207, 27 pages. arXiv:1007.4431
Nesterenko M., Patera J. and Tereszkiewicz A., Orbit functions of SU(n) and Chebyshev polynomials, arXiv:0905.2925, 2009, 15 pages.
Larouche M., Nesterenko M. and Patera J., Branching rules for the Weyl group orbits of the Lie algebra An, J. Phys. A: Math. Theor., 2009, V. 42, 485203, 15 pages. arXiv:0909.2337.
Nesterenko M., Patera J., Quasicrystal models in cryptography, AIP Conf. Proc., 1191, 2009, 148-159.
Nesterenko M., Patera J., On orbit functions, their properties and applications, Proceedings of the 4th Workshop "Group Analysis of Differential Equations & Integrable Systems'', 2009, 155-163.
Moody R.V., Nesterenko M., and Patera J., Computing with almost periodic functions, Acta Crystallographica A, 2008, A64, 654–669, arXiv:0808.1814v1.
Nesterenko M., Patera J., Three dimensional C-, S- and E-transforms, J. Phys. A: Math. Theor. 41, No 47, 31pp., arXiv:0805.3731v1.
Nesterenko M., Patera J. and Zhavrotskyj D., New families of cryptographic systems, arXiv:0710.0021v1, 2007, 14 pages.
Patera J., Nesterenko M., Quasicrystals in cryptography, in Aspects of Networks and Information Security, eds. E. Kranakis, E. Haroutunian, E.Shahbazian, IOS Press, Amsterdam, 2008; pp. 274-282.
Gaponova O., Nesterenko M., Systems of second-order ODEs invariant with respect to low-dimensional Lie algebras, Physics AUC. 2006, V.16, II 238-256.
Nesterenko M., Popovych R., Contractions of Low-dimensional Lie Algebras, J. Math. Phys. 2006, V.47, 123515, 45 pages, math-ph/0608018.
Gaponova O., Nesterenko M., Systems of ODEs invariant with respect to low-dimensional Lie algebras, Collection of Works of Institute of Mathematics, Kyiv, 2006, V.3, N 2, 71-91 (in ukrainian), pdf.
Nesterenko M., Transformation groups on real plane and their differential invariants, International Journal of Mathematics and Mathematical Sciences, vol. 2006, Article ID 17410, 17 pages, 2006, math-ph/0512038.
Popovych R., Boyko V., Nesterenko M., Lutfullin M., Realizations of Real Low-Dimensional Lie Algebras, 2005, math-ph/0301029-V7, 39 pages (extended and revised version).
Nesterenko M., Popovych R., Realizations of real unsolvable low-dimensional Lie algebras, in Proceedings of the Third Voronoi Conference on Analytic Number Theory and Spatial Tessellations, Editors H. Syta, A. Yurachkivsky, P. Engel, Kyiv, Institute of Mathematics, 2005, V.55, Part 3, 163–168 (see math-ph/0510015).
Nesterenko M, Differential Invariants of Transformation Groups on the Real Plane, in Proceedings of Fifth International Conference ``Symmetry in Nonlinear Mathematical Physics'' (23–29 June, 2003, Kyiv), Institute of Mathematics, 2004, V.50, Part 1, 211–213 (see pdf).
Popovych R., Boyko V., Nesterenko M., Lutfullin M., Realizations of Real Low-Dimensional Lie Algebras, J. Physics A, 2003, V.36, N 26, 7337–7360.
Nesterenko M., Boyko V., Realizations of indecomposable solvable 4-dimensional real Lie algebras, in Proceedings of Fourth International Conference ``Symmetry in Nonlinear Mathematical Physics'' (9–15 July, 2001, Kyiv), Institute of Mathematics, 2002, V.43, Part 2, 474–477.
M. Nesterenko, S. Posta Contraction admissible pairs of complex six-dimensional nilpotent Lie algebras, Springer Proceedings in Mathematics & Statistics: Lie Theory and Its Applications in Physics, V.191, 2015, 539-549.
M. Nesterenko, Realizations of 3- and 6-dimensional Poincare algebras, J. Phys.: Conf. Ser. 621, 2015, 012009, 7 pages.
M. Nesterenko, S-expansions of three-dimensional Lie algebras, Proceedings of 6th International Workshop ``Group Analysis of Differential Equations and Integrable Systems'', 2013, 147-154. arXiv:1212.1820
M. Nesterenko, Realizations of Lie Algebras, Physics of Particles and Nuclei Letters 11, No. 7, 2014, 987-989.
Nesterenko M., Patera J. and Tereszkiewicz A., Orthogonal polynomials of compact simple Lie groups, International Journal of Mathematics and Mathematical Sciences, 2011, V. 2011, 969424, 23 pages.
Nesterenko M., Patera J., Szajewska M. and Tereszkiewicz A., Orthogonal polynomials of compact simple Lie groups: Branching rules for polynomials, 2010, V. 43, 495207, 27 pages. arXiv:1007.4431
Nesterenko M., Patera J. and Tereszkiewicz A., Orbit functions of SU(n) and Chebyshev polynomials, arXiv:0905.2925, 2009, 15 pages.
Larouche M., Nesterenko M. and Patera J., Branching rules for the Weyl group orbits of the Lie algebra An, J. Phys. A: Math. Theor., 2009, V. 42, 485203, 15 pages. arXiv:0909.2337.
Nesterenko M., Patera J., Quasicrystal models in cryptography, AIP Conf. Proc., 1191, 2009, 148-159.
Nesterenko M., Patera J., On orbit functions, their properties and applications, Proceedings of the 4th Workshop "Group Analysis of Differential Equations & Integrable Systems'', 2009, 155-163.
Moody R.V., Nesterenko M., and Patera J., Computing with almost periodic functions, Acta Crystallographica A, 2008, A64, 654–669, arXiv:0808.1814v1.
Nesterenko M., Patera J., Three dimensional C-, S- and E-transforms, J. Phys. A: Math. Theor. 41, No 47, 31pp., arXiv:0805.3731v1.
Nesterenko M., Patera J. and Zhavrotskyj D., New families of cryptographic systems, arXiv:0710.0021v1, 2007, 14 pages.
Patera J., Nesterenko M., Quasicrystals in cryptography, in Aspects of Networks and Information Security, eds. E. Kranakis, E. Haroutunian, E.Shahbazian, IOS Press, Amsterdam, 2008; pp. 274-282.
Gaponova O., Nesterenko M., Systems of second-order ODEs invariant with respect to low-dimensional Lie algebras, Physics AUC. 2006, V.16, II 238-256.
Nesterenko M., Popovych R., Contractions of Low-dimensional Lie Algebras, J. Math. Phys. 2006, V.47, 123515, 45 pages, math-ph/0608018.
Gaponova O., Nesterenko M., Systems of ODEs invariant with respect to low-dimensional Lie algebras, Collection of Works of Institute of Mathematics, Kyiv, 2006, V.3, N 2, 71-91 (in ukrainian), pdf.
Nesterenko M., Transformation groups on real plane and their differential invariants, International Journal of Mathematics and Mathematical Sciences, vol. 2006, Article ID 17410, 17 pages, 2006, math-ph/0512038.
Popovych R., Boyko V., Nesterenko M., Lutfullin M., Realizations of Real Low-Dimensional Lie Algebras, 2005, math-ph/0301029-V7, 39 pages (extended and revised version).
Nesterenko M., Popovych R., Realizations of real unsolvable low-dimensional Lie algebras, in Proceedings of the Third Voronoi Conference on Analytic Number Theory and Spatial Tessellations, Editors H. Syta, A. Yurachkivsky, P. Engel, Kyiv, Institute of Mathematics, 2005, V.55, Part 3, 163–168 (see math-ph/0510015).
Nesterenko M, Differential Invariants of Transformation Groups on the Real Plane, in Proceedings of Fifth International Conference ``Symmetry in Nonlinear Mathematical Physics'' (23–29 June, 2003, Kyiv), Institute of Mathematics, 2004, V.50, Part 1, 211–213 (see pdf).
Popovych R., Boyko V., Nesterenko M., Lutfullin M., Realizations of Real Low-Dimensional Lie Algebras, J. Physics A, 2003, V.36, N 26, 7337–7360.
Nesterenko M., Boyko V., Realizations of indecomposable solvable 4-dimensional real Lie algebras, in Proceedings of Fourth International Conference ``Symmetry in Nonlinear Mathematical Physics'' (9–15 July, 2001, Kyiv), Institute of Mathematics, 2002, V.43, Part 2, 474–477.