On exact representations of the motions group of Galilean plane
arXiv:0912.1981
Abstract
The Pimenov algebra with two generators is defined and some of its properties are shown. Some exact matrix over the Pimenov algebra representations of the motions group of Galilean plane (the Galilean group) are considered. A geometric interpretation of them is giving. We consider also a exact representation of the Galilean group by elements of Grassmann algebra.
arXiv comment14 pages, 1 figure; talk given at XIII International Conference "Symmetry Methods in Physics", Dubna, Russia, July 6-9, 2009