Prohlížení Publikační činnost ČVUT dle autora "Nesterenko M."
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Comparison of realizations of Lie algebras
Autor: Nesterenko M.; Pošta S.
(IOP Publishing, 2018)The notion of equivalence of Lie algebra realizations is revisited and the quantities stable under the equivalence transformations are proposed. As a result we formulate a practical algorithm that allows to establish the ... -
Contractions of Realizations
Autor: Nesterenko M.; Pošta S.
(Springer Nature Singapore Pte Ltd., 2020)The direct application of the parameterized linear transformations (contraction matrices) to the Lie vector fields that realize a Lie algebra leads to improper (zero operators) realizations. This can be avoided by the ... -
Differential Invariants and Realizations of the Deformed Smallest Galilei Algebra
Autor: Nesterenko M.; Pošta S.
(MAIK "Nauka/Interperiodica", 2018)Deformations of the smallest Galilei algebra are constructed and deformed algebras are realized by Lie vector fields. For these realization bases of differential invariants and operators of invariant differentiation are ... -
Discrete analysis on non-cubic lattices
Autor: Nesterenko M.; Pošta S.
(IOP Publishing Ltd., 2019)The paper proposes practical and computation methods for discrete analysis of functions defined on the weight lattices or model sets of semisimple Lie groups. They are entirely group theoretical, being based on finite ... -
Equivalence of Vector Field Realizations of Lie Algebras from the Lie Group Point of View
Autor: Nesterenko M.; Pošta S.
(Springer Nature Singapore Pte Ltd., 2018)The equivalence of vector field realizations of Lie algebras is considered from the viewpoint of the Lie algebra and also from the corresponding (local) Lie group. It is shown that for some stages in the establishment of ... -
Realizations of Galilei algebras
Autor: Nesterenko M.; Pošta S.; Vaneeva O.
(Institute of Physics Publishing, 2016)All inequivalent realizations of the Galilei algebras of dimensions not greater than five are constructed using the algebraic approach proposed by Shirokov. The varieties of the deformed Galilei algebras are discussed and ...