Factorizations in Universal Enveloping algebras of three dimensional Lie algebras and generalizations
Quantum Algebra
2019-08-17 v1 Representation Theory
Abstract
We introduce the notion of Lie algebras with plus-minus pairs as well as regular plus-minus pairs. These notions deal with certain factorizations in universal enveloping algebras. We show that many important Lie algebras have such pairs and we classify, and give a full treatment of, the three dimensional Lie algebras with plus-minus pairs.
Cite
@article{arxiv.math/0109139,
title = {Factorizations in Universal Enveloping algebras of three dimensional Lie algebras and generalizations},
author = {S. Berman and J. Morita and Y. Yoshii},
journal= {arXiv preprint arXiv:math/0109139},
year = {2019}
}