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1. CMB 2002 (vol 45 pp. 525)
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Some Factorizations in Universal Enveloping Algebras of Three Dimensional Lie Algebras and Generalizations 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.
Categories:17B05, 17B35, 17B67, 17B70 |