On Extensions of Lie Algebras by Means of the Heisenberg Algebra
Matematičeskie zametki, Tome 78 (2005) no. 5, pp. 745-747
We prove that extensions of an arbitrary algebra generated by the Heisenberg algebra are inessential after factorization with respect to the center of the Heisenberg algebra. The extensions considered in the paper have a standard description in terms of a pair consisting of a representation and a cohomology class.
@article{MZM_2005_78_5_a9,
author = {S. T. Sadetov},
title = {On {Extensions} of {Lie} {Algebras} by {Means} of the {Heisenberg} {Algebra}},
journal = {Matemati\v{c}eskie zametki},
pages = {745--747},
year = {2005},
volume = {78},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2005_78_5_a9/}
}
S. T. Sadetov. On Extensions of Lie Algebras by Means of the Heisenberg Algebra. Matematičeskie zametki, Tome 78 (2005) no. 5, pp. 745-747. http://geodesic.mathdoc.fr/item/MZM_2005_78_5_a9/