Linear and nonlinear representations of Galilei groups in two-dimensional space-time

• Date: 1998
• Main Authors: Lagno, V. I., Fushchich, V. I., Лагно, В. I., Фущич, В. І.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4941
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study Galilei groups represented as groups of Lie transformations in the space of two independent variables and one dependent variable. We classify the representations of the groups A G 1(1,1), A G 2(1,1), A G 3(1,1), A ~G 1 (1,1), A ~G 2 (1,1), and A ~G3(1,1) in the class of Lie vector fields.