Realizations of Galilei algebras

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 families of one-parametric deformations are presented in explicit form. It is...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2016-03, Vol.49 (11), p.115203
Main Authors: Nesterenko, Maryna, Pošta, Severin, Vaneeva, Olena
Format: Article
Language:English
Subjects:
Algebra
Construction
Deformation
deformation of Lie algebra
Galilei algebra
Invariants
left-invariant vector field
Lie symmetry
Mathematical analysis
realization
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Summary: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 families of one-parametric deformations are presented in explicit form. It is also shown that a number of well-known and physically interesting equations and systems are invariant with respect to the considered Galilei algebras or their deformations.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/49/11/115203