On classification of Lie algebra realizations
Mathematical Physics
2017-03-03 v1 Differential Geometry
math.MP
Representation Theory
Abstract
We study realizations of Lie algebras by vector fields. A correspondence between classification of transitive local realizations and classification of subalgebras is generalized to the case of regular local realizations. A reasonable classification problem for general realizations is rigorously formulated and an algorithm for construction of such classification is presented.
Keywords
Cite
@article{arxiv.1703.00808,
title = {On classification of Lie algebra realizations},
author = {Daniel Gromada and Severin Pošta},
journal= {arXiv preprint arXiv:1703.00808},
year = {2017}
}
Comments
20 pages. arXiv admin note: text overlap with arXiv:math-ph/0512038 by other authors