The center of the quotient division ring of the universal envelope of a Lie algebra
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- by Alfons I. Ooms PDF
- Proc. Amer. Math. Soc. 87 (1983), 394-396 Request permission
Abstract:
Let $L$ be a finite dimensional Lie algebra over a field $k$ of characteristic zero, $D(L)$ the quotient division ring of $U(L)$. We compare the center $Z(D(L))$ with $Z(D(H))$ where $H$ is an ideal of $L$ of codimension one.References
- Pierre Bernat, Sur le corps enveloppant d’une algèbre de Lie résoluble, Bull. Soc. Math. France Mém. 7 (1966), 175 (French). MR 230774
- J. Dixmier, Sur les représentations unitaires des groupes de Lie nilpotents. II, Bull. Soc. Math. France 85 (1957), 325–388 (French). MR 95426
- Jacques Dixmier, Algèbres enveloppantes, Cahiers Scientifiques, Fasc. XXXVII, Gauthier-Villars Éditeur, Paris-Brussels-Montreal, Que., 1974 (French). MR 0498737
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 394-396
- MSC: Primary 17B35; Secondary 16A08
- DOI: https://doi.org/10.1090/S0002-9939-1983-0684625-4
- MathSciNet review: 684625