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Search: MSC category 17B35 ( Universal enveloping (super)algebras [See also 16S30] )

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1. CMB 2002 (vol 45 pp. 525)

Berman, Stephen; Morita, Jun; Yoshii, Yoji
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

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