Realizations of Galilei algebras

被引：6

作者：

Nesterenko, Maryna ^{[1
]}

Posta, Severin ^{[2
]}

Vaneeva, Olena ^{[1
]}

机构：

[1] NAS Ukraine, Inst Math, 3 Tereshchenkivska Str, UA-01601 Kiev 4, Ukraine

[2] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Dept Math, Trojanova 13, CZ-12000 Prague, Czech Republic

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2016年 / 49卷 / 11期

关键词：

Galilei algebra; realization; left-invariant vector field; deformation of Lie algebra; Lie symmetry; INVARIANTS; EQUATIONS; WAVES;

D O I：

10.1088/1751-8113/49/11/115203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：26

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