IJPAM: Volume 30, No. 1 (2006)

ON A PARAMETERIZATION OF THE POINCARE GROUP

Kostadin Trencevski$^1$, Emilija G. Celakoska$^2$, Vladimir Balan$^3$
$^1$Institute of Mathematics
Ss. Cyril and Methodius University
P.O. Box 162, Skopje, 1000, MACEDONIA
e-mail: kostatre@iunona.pmf.ukim.edu.mk
$^2$Faculty of Mechanical Engineering
Ss. Cyril and Methodius University
Skopje, 1000, MACEDONIA
e-mail: cemil@mf.ukim.edu.mk
$^3$Department of Mathematics I
Polytechnic University of Bucharest
313, Splaiul Independentei, Bucharest, R0-060042, ROMANIA
e-mail: vbalan@mathem.pub.ro


Abstract.In this paper the Poincare group is studied. Namely for a given vector of velocity and given direction and angle of space rotation, the corresponding matrix of the Poincare group is found. In Theorem 1 two functionally independent invariant scalars under the transformations of similarity are found, and there does not exist another invariant scalar which is functionally independent from them.

Received: June 8, 2006

AMS Subject Classification: 83A05

Key Words and Phrases: Poincare group, Lorentz transformations, space rotations

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 30
Issue: 1