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pro vyhledávání: '"NESTERENKO, Maryna"'
Akademický článek
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Autor:
Nesterenko, Maryna, Pošta, Severin
Publikováno v:
Journal of Physics: Conference Series; 2024, Vol. 2912 Issue 1, p1-8, 8p
Publikováno v:
J. Phys. A: Math. Theor. 2016, V. 49, no. 11, 115203, 26 pp
All inequivalent realizations of the Galilei algebras of dimensions not greater than five are constructed using the algebraic approach proposed by I. Shirokov. The varieties of the deformed Galilei algebras are discussed and families of one-parametri
Externí odkaz:
http://arxiv.org/abs/1509.00233
Autor:
Nesterenko, Maryna
S-expansions of three-dimensional real Lie algebras are considered. It is shown that the expansion operation allows one to obtain a non-unimodular Lie algebra from a unimodular one. Nevertheless S-expansions define no ordering on the variety of Lie a
Externí odkaz:
http://arxiv.org/abs/1212.1820
Publikováno v:
2010 J. Phys. A: Math. Theor. 43 495207
Polynomials in this paper are defined starting from a compact semisimple Lie group. A known classification of maximal, semisimple subgroups of simple Lie groups is used to select the cases to be considered here. A general method is presented and all
Externí odkaz:
http://arxiv.org/abs/1007.4431
Publikováno v:
International Journal of Mathematics and Mathematical Sciences Volume 2011 (2011), Article ID 969424, 23 pages
Recursive algebraic construction of two infinite families of polynomials in $n$ variables is proposed as a uniform method applicable to every semisimple Lie group of rank $n$. Its result recognizes Chebyshev polynomials of the first and second kind a
Externí odkaz:
http://arxiv.org/abs/1001.3683
Akademický článek
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A symmetric encryption method based on properties of quasicrystals is proposed. The advantages of the cipher are strict aperiodicity and everywhere discontinuous property as well as the speed of computation, simplicity of implementation and a straigh
Externí odkaz:
http://arxiv.org/abs/0710.0021
Autor:
Nesterenko, Maryna, Popovych, Roman
Publikováno v:
J. Math. Phys. 47, 123515 (2006) (45 pages)
Theoretical background of continuous contractions of finite-dimensional Lie algebras is rigorously formulated and developed. In particular, known necessary criteria of contractions are collected and new criteria are proposed. A number of requisite in
Externí odkaz:
http://arxiv.org/abs/math-ph/0608018
Autor:
Nesterenko, Maryna
Publikováno v:
Int. J. Math. Math. Sci. 2006, 17410, 17 pp.
Complete sets of bases of differential invariants, operators of invariant differentiation and Lie determinants of continuous transformation groups acting on the real plane are constructed. As a necessary preliminary, realizations of finite-dimensiona
Externí odkaz:
http://arxiv.org/abs/math-ph/0512038