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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Norms on enveloping algebras
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by Denis Luminet PDF
Proc. Amer. Math. Soc. 101 (1987), 65-66 Request permission

Abstract:

Let $\mathfrak {g}$ be a complex Lie algebra, and let $U$ be its enveloping algebra. $U$ is normable if and only if $\mathfrak {g}$ is nilpotent.
References
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 101 (1987), 65-66
  • MSC: Primary 17B35; Secondary 46H70
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0897071-9
  • MathSciNet review: 897071