Krull dimension of the enveloping algebra of a semisimple Lie algebra
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- by Thierry Levasseur
- Proc. Amer. Math. Soc. 130 (2002), 3519-3523
- DOI: https://doi.org/10.1090/S0002-9939-02-06507-3
- Published electronically: May 15, 2002
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Abstract:
Let $\mathfrak {g}$ be a complex semisimple Lie algebra and $U(\mathfrak {g})$ be its enveloping algebra. We deduce from the work of R. Bezrukavnikov, A. Braverman and L. Positselskii that the Krull-Gabriel-Rentschler dimension of $U(\mathfrak {g})$ is equal to the dimension of a Borel subalgebra of $\mathfrak {g}$.References
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Bibliographic Information
- Thierry Levasseur
- Affiliation: Département de Mathématiques, Université de Brest, 29285 Brest cedex, France
- Email: Thierry.Levasseur@univ-brest.fr
- Received by editor(s): July 30, 2001
- Published electronically: May 15, 2002
- Communicated by: Lance W. Small
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3519-3523
- MSC (2000): Primary 16Sxx, 17Bxx
- DOI: https://doi.org/10.1090/S0002-9939-02-06507-3
- MathSciNet review: 1918828