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Lie group symmetries’ complete classification for a generalized Chazy equation and its equivalence group
(Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica., 2022)
Local symmetries in gauge theories in a finite-dimensional setting
(ELSEVIER SCIENCE BVAMSTERDAM, 2012)
It is shown that the correct mathematical implementation of symmetry in the geometric formulation of classical field theory leads naturally beyond the concept of Lie groups and their actions on manifolds, out into the realm ...
The distribution of symmetry of a naturally reductive nilpotent Lie group
(Springer, 2019-06)
We show that the distribution of symmetry of a naturally reductive nilpotent Lie group coincides with the invariant distribution induced by the set of fixed vectors of the isotropy. This extends a known result on compact ...
Simetrias de Lie estocásticasStochastics Lie's symmetries
([s.n.], 2012)
Applications of the Lie symmetries to complete solution of a bead on a rotating wire hoop
(2018-02-01)
The existence of Lie symmetries in differential equations can generate transformations in the dependent and independent variables and obtain new equations that may be easier to integrate. In particular, in some situations, ...
The index of symmetry of three-dimensional Lie groups with a left-invariant metric
(De Gruyter, 2018-10)
We determine the index of symmetry of 3-dimensional unimodular Lie groups with a left-invariant metric. In particular, we prove that every 3-dimensional unimodular Lie group admits a left-invariant metric with positive ...
Application of the λ-symmetries approach and time independent integral of the modified Emden equation
(2012-06-01)
In this paper we derive the time-independent integral for a nonlinear dissipative system, namely the modified Emden equation, from Lie point symmetries. We employ the recently introduced λ-symmetries method [C. Muriel, ...