Some Factorizations in Universal Enveloping Algebras of Three Dimensional Lie Algebras and Generalizations
Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 525-536
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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.
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
@article{10_4153_CMB_2002_053_4,
author = {Berman, Stephen and Morita, Jun and Yoshii, Yoji},
title = {Some {Factorizations} in {Universal} {Enveloping} {Algebras} of {Three} {Dimensional} {Lie} {Algebras} and {Generalizations}},
journal = {Canadian mathematical bulletin},
pages = {525--536},
year = {2002},
volume = {45},
number = {4},
doi = {10.4153/CMB-2002-053-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-053-4/}
}
TY - JOUR AU - Berman, Stephen AU - Morita, Jun AU - Yoshii, Yoji TI - Some Factorizations in Universal Enveloping Algebras of Three Dimensional Lie Algebras and Generalizations JO - Canadian mathematical bulletin PY - 2002 SP - 525 EP - 536 VL - 45 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-053-4/ DO - 10.4153/CMB-2002-053-4 ID - 10_4153_CMB_2002_053_4 ER -
%0 Journal Article %A Berman, Stephen %A Morita, Jun %A Yoshii, Yoji %T Some Factorizations in Universal Enveloping Algebras of Three Dimensional Lie Algebras and Generalizations %J Canadian mathematical bulletin %D 2002 %P 525-536 %V 45 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-053-4/ %R 10.4153/CMB-2002-053-4 %F 10_4153_CMB_2002_053_4
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