Some Factorizations in Universal Enveloping Algebras of Three Dimensional Lie Algebras and Generalizations
Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 525-536

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2002-053-4
Mots-clés : 17B05, 17B35, 17B67, 17B70
Berman, Stephen; Morita, Jun; Yoshii, Yoji. Some Factorizations in Universal Enveloping Algebras of Three Dimensional Lie Algebras and Generalizations. Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 525-536. doi: 10.4153/CMB-2002-053-4
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