On New Representations of Galilei Groups

DOI

10.2991/jnmp.1997.4.3-4.18How to use a DOI?

Abstract

We have constructed new realizations of the Galilei group and its natural extensions by Lie vector fields. These realizations together with the ones obtained by Fushchych & Cherniha (Ukr. Math. J., 1989, 41, N 10, 1161; N 12, 1456) and Rideau & Winternitz (J. Math. Phys., 1993, 34, 558) give a complete description of inequivalent representations of the Galilei, extended Galilei, and generalized Galilei groups in the class of Lie vector fields with two independent and two dependent variables.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - W.I. Fushchych
AU  - R.Z. Zhdanov
PY  - 1997
DA  - 1997/09/01
TI  - On New Representations of Galilei Groups
JO  - Journal of Nonlinear Mathematical Physics
SP  - 426
EP  - 435
VL  - 4
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.3-4.18
DO  - 10.2991/jnmp.1997.4.3-4.18
ID  - Fushchych1997
ER  -