The semicenter of an enveloping algebra is factorial
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- by Lieven Le Bruyn and Alfons I. Ooms PDF
- Proc. Amer. Math. Soc. 93 (1985), 397-400 Request permission
Abstract:
Let $L$ be a finite-dimensional Lie algebra over a field $k$ of characteristic zero, and $U(L)$ its universal enveloping algebra. We show that the semicenter of $U(L)$ is a UFD. More generally, the same result holds when $k$ is replaced by any factorial ring $R$ of characteristic zero.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 397-400
- MSC: Primary 17B35
- DOI: https://doi.org/10.1090/S0002-9939-1985-0773989-0
- MathSciNet review: 773989