Factorizations in Universal Enveloping algebras of three dimensional Lie algebras and generalizations

Details Factorizations in Universal Enveloping algebras of three dimensional Lie algebras and generalizations Factorizations in Universal Enveloping algebras of three dimensional Lie algebras and generalizations

2001-09-19

arxiv.org/abs/math/0109139v1

Mathematics

Quantum Algebra

Scientific paper

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.

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