XXXV Workshop on Geometric Methods in Physics 26.06-2.07.2016

Daniel Gromada

Construction of Lie algebra realizations

The problem of realization of a Lie algebra structure by vector fields is widely applicable in group analysis of differential equations. One of the natural problems arising is classification of all realizations of a given Lie algebra. It is known, that classification of so called transitive realizations is equivalent to classification of subalgebras of the Lie algebra. In the presentation we briefly introduce one of possible ways of constructing transitive realizations proposed by A. A. Magazev, V. V. Mikheyev and I. V. Shirokov. Then we shall discuss possible ways of construction of non-transitive realizations.

Event sponsored by:
National Science Foundation          Belgian Science Policy Office          University of Bialystok

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